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Spēka moments — Vikipēdija

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class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Vietne"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Saturs" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Saturs</h2> <button class="vector-pinnable-header-toggle-button 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<span>Pārslēgt Spēka momenta statika apakšsadaļu</span> </button> <ul id="toc-Spēka_momenta_statika-sublist" class="vector-toc-list"> <li id="toc-Piemērs" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Piemērs"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Piemērs</span> </div> </a> <ul id="toc-Piemērs-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Spēka_moments_un_rotācijas_inerce" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Spēka_moments_un_rotācijas_inerce"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Spēka moments un rotācijas inerce</span> </div> </a> <button aria-controls="toc-Spēka_moments_un_rotācijas_inerce-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Pārslēgt Spēka moments un rotācijas inerce apakšsadaļu</span> </button> <ul id="toc-Spēka_moments_un_rotācijas_inerce-sublist" class="vector-toc-list"> <li id="toc-Piemērs_2" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Piemērs_2"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Piemērs</span> </div> </a> <ul id="toc-Piemērs_2-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Skatīt_arī" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Skatīt_arī"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Skatīt arī</span> </div> </a> <ul id="toc-Skatīt_arī-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Atsauces" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Atsauces"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Atsauces</span> </div> </a> <ul id="toc-Atsauces-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Saturs" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Pārslēgt satura rādītāju" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Pārslēgt satura rādītāju</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Spēka moments</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Pāriet uz rakstu citā valodā. Pieejams 77 valodās" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-77" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">77 valodas</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Wringkrag" title="Wringkrag – afrikandu" lang="af" hreflang="af" data-title="Wringkrag" data-language-autonym="Afrikaans" data-language-local-name="afrikandu" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%B2%D9%85_%D8%A7%D9%84%D8%AF%D9%88%D8%B1%D8%A7%D9%86" title="عزم الدوران – arābu" lang="ar" hreflang="ar" data-title="عزم الدوران" data-language-autonym="العربية" data-language-local-name="arābu" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%AD%E0%A7%8D%E0%A7%B0%E0%A6%BE%E0%A6%AE%E0%A6%95" title="ভ্ৰামক – asamiešu" lang="as" hreflang="as" data-title="ভ্ৰামক" data-language-autonym="অসমীয়া" data-language-local-name="asamiešu" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Momentu_de_fuercia" title="Momentu de fuercia – astūriešu" lang="ast" hreflang="ast" data-title="Momentu de fuercia" data-language-autonym="Asturianu" data-language-local-name="astūriešu" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Moment" title="Moment – azerbaidžāņu" lang="az" hreflang="az" data-title="Moment" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaidžāņu" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Drehmaument" title="Drehmaument – Bavarian" lang="bar" hreflang="bar" data-title="Drehmaument" data-language-autonym="Boarisch" data-language-local-name="Bavarian" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BC%D0%B0%D0%BD%D1%82_%D1%81%D1%96%D0%BB%D1%8B" title="Момант сілы – baltkrievu" lang="be" hreflang="be" data-title="Момант сілы" data-language-autonym="Беларуская" data-language-local-name="baltkrievu" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BC%D0%B0%D0%BD%D1%82_%D1%81%D1%96%D0%BB%D1%8B" title="Момант сілы – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Момант сілы" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BC%D0%B5%D0%BD%D1%82_%D0%BD%D0%B0_%D1%81%D0%B8%D0%BB%D0%B0" title="Момент на сила – bulgāru" lang="bg" hreflang="bg" data-title="Момент на сила" data-language-autonym="Български" data-language-local-name="bulgāru" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%9F%E0%A6%B0%E0%A7%8D%E0%A6%95" title="টর্ক – bengāļu" lang="bn" hreflang="bn" data-title="টর্ক" data-language-autonym="বাংলা" data-language-local-name="bengāļu" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Moment_sile" title="Moment sile – bosniešu" lang="bs" hreflang="bs" data-title="Moment sile" data-language-autonym="Bosanski" data-language-local-name="bosniešu" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Parell_de_forces" title="Parell de forces – katalāņu" lang="ca" hreflang="ca" data-title="Parell de forces" data-language-autonym="Català" data-language-local-name="katalāņu" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%B2%DB%95%D8%A8%D8%B1" title="زەبر – centrālkurdu" lang="ckb" hreflang="ckb" data-title="زەبر" data-language-autonym="کوردی" data-language-local-name="centrālkurdu" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/To%C4%8Div%C3%BD_moment" title="Točivý moment – čehu" lang="cs" hreflang="cs" data-title="Točivý moment" data-language-autonym="Čeština" data-language-local-name="čehu" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%92%C4%83%D0%B9_%D1%81%D0%B0%D0%BC%D0%B0%D0%BD%D1%87%C4%95" title="Вăй саманчĕ – čuvašu" lang="cv" hreflang="cv" data-title="Вăй саманчĕ" data-language-autonym="Чӑвашла" data-language-local-name="čuvašu" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Moment" title="Moment – velsiešu" lang="cy" hreflang="cy" data-title="Moment" data-language-autonym="Cymraeg" data-language-local-name="velsiešu" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Drejningsmoment" title="Drejningsmoment – dāņu" lang="da" hreflang="da" data-title="Drejningsmoment" data-language-autonym="Dansk" data-language-local-name="dāņu" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Drehmoment" title="Drehmoment – vācu" lang="de" hreflang="de" data-title="Drehmoment" data-language-autonym="Deutsch" data-language-local-name="vācu" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A1%CE%BF%CF%80%CE%AE" title="Ροπή – grieķu" lang="el" hreflang="el" data-title="Ροπή" data-language-autonym="Ελληνικά" data-language-local-name="grieķu" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Torque" title="Torque – angļu" lang="en" hreflang="en" data-title="Torque" data-language-autonym="English" data-language-local-name="angļu" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Torda_momanto" title="Torda momanto – esperanto" lang="eo" hreflang="eo" data-title="Torda momanto" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Momento_de_fuerza" title="Momento de fuerza – spāņu" lang="es" hreflang="es" data-title="Momento de fuerza" data-language-autonym="Español" data-language-local-name="spāņu" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/J%C3%B5umoment" title="Jõumoment – igauņu" lang="et" hreflang="et" data-title="Jõumoment" data-language-autonym="Eesti" data-language-local-name="igauņu" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Indar_momentu" title="Indar momentu – basku" lang="eu" hreflang="eu" data-title="Indar momentu" data-language-autonym="Euskara" data-language-local-name="basku" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%DA%AF%D8%B4%D8%AA%D8%A7%D9%88%D8%B1_%D9%86%DB%8C%D8%B1%D9%88" title="گشتاور نیرو – persiešu" lang="fa" hreflang="fa" data-title="گشتاور نیرو" data-language-autonym="فارسی" data-language-local-name="persiešu" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Voiman_momentti" title="Voiman momentti – somu" lang="fi" hreflang="fi" data-title="Voiman momentti" data-language-autonym="Suomi" data-language-local-name="somu" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Moment_d%27une_force" title="Moment d&#039;une force – franču" lang="fr" hreflang="fr" data-title="Moment d&#039;une force" data-language-autonym="Français" data-language-local-name="franču" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Dreimoment" title="Dreimoment – ziemeļfrīzu" lang="frr" hreflang="frr" data-title="Dreimoment" data-language-autonym="Nordfriisk" data-language-local-name="ziemeļfrīzu" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Casmh%C3%B3imint" title="Casmhóimint – īru" lang="ga" hreflang="ga" data-title="Casmhóimint" data-language-autonym="Gaeilge" data-language-local-name="īru" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Torque_(magnitude)" title="Torque (magnitude) – galisiešu" lang="gl" hreflang="gl" data-title="Torque (magnitude)" data-language-autonym="Galego" data-language-local-name="galisiešu" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%95%D7%9E%D7%A0%D7%98_%D7%9B%D7%95%D7%97" title="מומנט כוח – ivrits" lang="he" hreflang="he" data-title="מומנט כוח" data-language-autonym="עברית" data-language-local-name="ivrits" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AC%E0%A4%B2%E0%A4%BE%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3" title="बलाघूर्ण – hindi" lang="hi" hreflang="hi" data-title="बलाघूर्ण" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Moment_sile" title="Moment sile – horvātu" lang="hr" hreflang="hr" data-title="Moment sile" data-language-autonym="Hrvatski" data-language-local-name="horvātu" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Moman_t%C3%B2syon" title="Moman tòsyon – haitiešu" lang="ht" hreflang="ht" data-title="Moman tòsyon" data-language-autonym="Kreyòl ayisyen" data-language-local-name="haitiešu" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Forgat%C3%B3nyomat%C3%A9k" title="Forgatónyomaték – ungāru" lang="hu" hreflang="hu" data-title="Forgatónyomaték" data-language-autonym="Magyar" data-language-local-name="ungāru" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%88%D6%82%D5%AA%D5%AB_%D5%B4%D5%B8%D5%B4%D5%A5%D5%B6%D5%BF" title="Ուժի մոմենտ – armēņu" lang="hy" hreflang="hy" data-title="Ուժի մոմենտ" data-language-autonym="Հայերեն" data-language-local-name="armēņu" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Torsi" title="Torsi – indonēziešu" lang="id" hreflang="id" data-title="Torsi" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonēziešu" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Momento" title="Momento – ido" lang="io" hreflang="io" data-title="Momento" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Sn%C3%BAningsv%C3%A6gi" title="Snúningsvægi – islandiešu" lang="is" hreflang="is" data-title="Snúningsvægi" data-language-autonym="Íslenska" data-language-local-name="islandiešu" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Momento_meccanico" title="Momento meccanico – itāļu" lang="it" hreflang="it" data-title="Momento meccanico" data-language-autonym="Italiano" data-language-local-name="itāļu" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%88%E3%83%AB%E3%82%AF" title="トルク – japāņu" lang="ja" hreflang="ja" data-title="トルク" data-language-autonym="日本語" data-language-local-name="japāņu" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9A%D2%AF%D1%88_%D0%BC%D0%BE%D0%BC%D0%B5%D0%BD%D1%82%D1%96" title="Күш моменті – kazahu" lang="kk" hreflang="kk" data-title="Күш моменті" data-language-autonym="Қазақша" data-language-local-name="kazahu" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%8F%8C%EB%A6%BC%ED%9E%98" title="돌림힘 – korejiešu" lang="ko" hreflang="ko" data-title="돌림힘" data-language-autonym="한국어" data-language-local-name="korejiešu" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Momenta_zivir%C3%AA" title="Momenta zivirê – kurdu" lang="ku" hreflang="ku" data-title="Momenta zivirê" data-language-autonym="Kurdî" data-language-local-name="kurdu" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Momentum_virium" title="Momentum virium – latīņu" lang="la" hreflang="la" data-title="Momentum virium" data-language-autonym="Latina" data-language-local-name="latīņu" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/J%C4%97gos_momentas" title="Jėgos momentas – lietuviešu" lang="lt" hreflang="lt" data-title="Jėgos momentas" data-language-autonym="Lietuvių" data-language-local-name="lietuviešu" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BC%D0%B5%D0%BD%D1%82_%D0%BD%D0%B0_%D1%81%D0%B8%D0%BB%D0%B0" title="Момент на сила – maķedoniešu" lang="mk" hreflang="mk" data-title="Момент на сила" data-language-autonym="Македонски" data-language-local-name="maķedoniešu" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%9A%E0%B5%81%E0%B4%B4%E0%B4%B1%E0%B5%8D%E0%B4%B1%E0%B5%81%E0%B4%AC%E0%B4%B2%E0%B4%82" title="ചുഴറ്റുബലം – malajalu" lang="ml" hreflang="ml" data-title="ചുഴറ്റുബലം" data-language-autonym="മലയാളം" data-language-local-name="malajalu" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%86%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3" title="आघूर्ण – marathu" lang="mr" hreflang="mr" data-title="आघूर्ण" data-language-autonym="मराठी" data-language-local-name="marathu" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Tork" title="Tork – malajiešu" lang="ms" hreflang="ms" data-title="Tork" data-language-autonym="Bahasa Melayu" data-language-local-name="malajiešu" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Moment_(mechanica)" title="Moment (mechanica) – holandiešu" lang="nl" hreflang="nl" data-title="Moment (mechanica)" data-language-autonym="Nederlands" data-language-local-name="holandiešu" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Dreiemoment" title="Dreiemoment – jaunnorvēģu" lang="nn" hreflang="nn" data-title="Dreiemoment" data-language-autonym="Norsk nynorsk" data-language-local-name="jaunnorvēģu" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Dreiemoment" title="Dreiemoment – norvēģu bukmols" lang="nb" hreflang="nb" data-title="Dreiemoment" data-language-autonym="Norsk bokmål" data-language-local-name="norvēģu bukmols" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Moment_d%27una_f%C3%B2r%C3%A7a" title="Moment d&#039;una fòrça – oksitāņu" lang="oc" hreflang="oc" data-title="Moment d&#039;una fòrça" data-language-autonym="Occitan" data-language-local-name="oksitāņu" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Moment_si%C5%82y" title="Moment siły – poļu" lang="pl" hreflang="pl" data-title="Moment siły" data-language-autonym="Polski" data-language-local-name="poļu" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%B9%D8%A7%D8%B1%DA%A9" title="ٹارک – Western Punjabi" lang="pnb" hreflang="pnb" data-title="ٹارک" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Torque" title="Torque – portugāļu" lang="pt" hreflang="pt" data-title="Torque" data-language-autonym="Português" data-language-local-name="portugāļu" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Momentul_for%C8%9Bei" title="Momentul forței – rumāņu" lang="ro" hreflang="ro" data-title="Momentul forței" data-language-autonym="Română" data-language-local-name="rumāņu" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BC%D0%B5%D0%BD%D1%82_%D1%81%D0%B8%D0%BB%D1%8B" title="Момент силы – krievu" lang="ru" hreflang="ru" data-title="Момент силы" data-language-autonym="Русский" data-language-local-name="krievu" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Obrtni_moment" title="Obrtni moment – serbu–horvātu" lang="sh" hreflang="sh" data-title="Obrtni moment" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbu–horvātu" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Torque" title="Torque – Simple English" lang="en-simple" hreflang="en-simple" data-title="Torque" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Kr%C3%BAtiaci_moment" title="Krútiaci moment – slovāku" lang="sk" hreflang="sk" data-title="Krútiaci moment" data-language-autonym="Slovenčina" data-language-local-name="slovāku" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Navor" title="Navor – slovēņu" lang="sl" hreflang="sl" data-title="Navor" data-language-autonym="Slovenščina" data-language-local-name="slovēņu" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/%C3%87asti" title="Çasti – albāņu" lang="sq" hreflang="sq" data-title="Çasti" data-language-autonym="Shqip" data-language-local-name="albāņu" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BC%D0%B5%D0%BD%D1%82_%D1%81%D0%B8%D0%BB%D0%B5" title="Момент силе – serbu" lang="sr" hreflang="sr" data-title="Момент силе" data-language-autonym="Српски / srpski" data-language-local-name="serbu" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Vridmoment" title="Vridmoment – zviedru" lang="sv" hreflang="sv" data-title="Vridmoment" data-language-autonym="Svenska" data-language-local-name="zviedru" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AE%E0%AF%81%E0%AE%B1%E0%AF%81%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AF%81_%E0%AE%B5%E0%AE%BF%E0%AE%9A%E0%AF%88" title="முறுக்கு விசை – tamilu" lang="ta" hreflang="ta" data-title="முறுக்கு விசை" data-language-autonym="தமிழ்" data-language-local-name="tamilu" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%9F%E0%B0%BE%E0%B0%B0%E0%B1%8D%E0%B0%95%E0%B1%8D" title="టార్క్ – telugu" lang="te" hreflang="te" data-title="టార్క్" data-language-autonym="తెలుగు" data-language-local-name="telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Tork" title="Tork – turku" lang="tr" hreflang="tr" data-title="Tork" data-language-autonym="Türkçe" data-language-local-name="turku" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BC%D0%B5%D0%BD%D1%82_%D1%81%D0%B8%D0%BB%D0%B8" title="Момент сили – ukraiņu" lang="uk" hreflang="uk" data-title="Момент сили" data-language-autonym="Українська" data-language-local-name="ukraiņu" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%AA%D8%AF%D9%88%DB%8C%D8%B1" title="تدویر – urdu" lang="ur" hreflang="ur" data-title="تدویر" data-language-autonym="اردو" data-language-local-name="urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/M%C3%B4_men_l%E1%BB%B1c" title="Mô men lực – vjetnamiešu" lang="vi" hreflang="vi" data-title="Mô men lực" data-language-autonym="Tiếng Việt" data-language-local-name="vjetnamiešu" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E5%8A%9B%E7%9F%A9" title="力矩 – vu ķīniešu" lang="wuu" hreflang="wuu" data-title="力矩" data-language-autonym="吴语" data-language-local-name="vu ķīniešu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a 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data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Izskats</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">pārvietot uz sānjoslu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">paslēpt</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Vikipēdijas lapa</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="lv" dir="ltr"><figure typeof="mw:File/Thumb"><a href="/wiki/Att%C4%93ls:Fysik_vridmoment.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/8/8b/Fysik_vridmoment.png" decoding="async" width="189" height="189" class="mw-file-element" data-file-width="189" data-file-height="189" /></a><figcaption>Spēka moments τ, pielikts uzgriežņu atslēgai</figcaption></figure> <p><b>Spēka moments</b> raksturo <a href="/wiki/Sp%C4%93ks" title="Spēks">spēka</a> spēju izraisīt ķermeņa <a href="/wiki/Griezes_kust%C4%ABba" title="Griezes kustība">rotāciju</a> attiecībā pret rotācijas asi.<sup id="cite_ref-:02_1-0" class="reference"><a href="#cite_note-:02-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> Kā formulu to pieraksta: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M=Fl}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mo>=</mo> <mi>F</mi> <mi>l</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M=Fl}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c2052fa07bdc07d4e08b3b79c6cdf77069b08721" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.975ex; height:2.176ex;" alt="{\displaystyle M=Fl}"></span>, kur <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f82cade9898ced02fdd08712e5f0c0151758a0dd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.442ex; height:2.176ex;" alt="{\displaystyle M}"></span> ir spēka moments, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/545fd099af8541605f7ee55f08225526be88ce57" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.741ex; height:2.176ex;" alt="{\displaystyle F}"></span> ir pieliktais spēks un <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle l}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>l</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle l}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/829091f745070b9eb97a80244129025440a1cfac" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.693ex; height:2.176ex;" alt="{\displaystyle l}"></span> ir spēka plecs(tuvākais attālums no spēka darbības taisnes līdz pagrieziena asij) </p><p>Spēka momentus, kas cenšas griezt ķermeni pret pulksteni sauc par pozitīviem, bet tos, kas cenšas griezt ķermeni pa pulksteni sauc par negatīviem<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> (zīmes izriet no <a href="/wiki/Vektori%C4%81lais_reizin%C4%81jums" title="Vektoriālais reizinājums">vektoriālā reizinājuma</a> un <a href="/wiki/Lab%C4%81s_rokas_likums" class="mw-redirect" title="Labās rokas likums">labā rokas likuma</a>) </p> <figure typeof="mw:File/Thumb"><a href="/wiki/Att%C4%93ls:Diagram_of_the_moment_arm_of_a_force_F.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Diagram_of_the_moment_arm_of_a_force_F.svg/300px-Diagram_of_the_moment_arm_of_a_force_F.svg.png" decoding="async" width="300" height="223" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Diagram_of_the_moment_arm_of_a_force_F.svg/450px-Diagram_of_the_moment_arm_of_a_force_F.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Diagram_of_the_moment_arm_of_a_force_F.svg/600px-Diagram_of_the_moment_arm_of_a_force_F.svg.png 2x" data-file-width="450" data-file-height="335" /></a><figcaption>Diagrammā pieliktais spēks ir <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/545fd099af8541605f7ee55f08225526be88ce57" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.741ex; height:2.176ex;" alt="{\displaystyle F}"></span>, bet plecs ir īsāks par <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span>, plecs ir <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle d}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e85ff03cbe0c7341af6b982e47e9f90d235c66ab" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.216ex; height:2.176ex;" alt="{\displaystyle d}"></span>. Spēka plecu var aprēķināt ģeometriski <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle d=r\sin {\alpha }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mo>=</mo> <mi>r</mi> <mi>sin</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>&#x03B1;<!-- α --></mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d=r\sin {\alpha }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/502de1d794f3e6833be5a9b055537e47a515d0ac" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.48ex; height:2.176ex;" alt="{\displaystyle d=r\sin {\alpha }}"></span>, kur <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \alpha }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03B1;<!-- α --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \alpha }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.488ex; height:1.676ex;" alt="{\displaystyle \alpha }"></span> ir leņķis starp <a href="/wiki/Vektors" title="Vektors">vektoriem</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/545fd099af8541605f7ee55f08225526be88ce57" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.741ex; height:2.176ex;" alt="{\displaystyle F}"></span> un <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span>.</figcaption></figure> <p>Pagrieziena ass var būt reāla rotācijas ass, ap kuru ķermenis var griezties. Bet tā var būt arī iedomāta <a href="/wiki/L%C4%ABnija" title="Līnija">līnija</a>, ap kuru spēks pagriež ķermeni. Tā, piemēram, <a href="/wiki/Smaguma_sp%C4%93ks" title="Smaguma spēks">smaguma spēka</a> dēļ uz galda var apgāzties ziedu vāze, kad tā zaudē līdzsvaru. </p><p>Spēka momentu var novērot, piemēram, <a href="/wiki/Svira" title="Svira">svirās</a>, <a href="/wiki/Tr%C4%ABsis" title="Trīsis">trīšos</a>, <a href="/wiki/Vilci%C5%86%C5%A1_(rota%C4%BClieta)" title="Vilciņš (rotaļlieta)">vilciņos</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Spēka_momenta_statika"><span id="Sp.C4.93ka_momenta_statika"></span>Spēka momenta statika</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sp%C4%93ka_moments&amp;veaction=edit&amp;section=1" title="Labot sadaļu: Spēka momenta statika" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sp%C4%93ka_moments&amp;action=edit&amp;section=1" title="Labot sadaļas vikikodu: Spēka momenta statika"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Lai objekts atrastos pilnīgā līdzsvarā(nedz <a href="/wiki/Pa%C4%81trin%C4%81jums" title="Paātrinājums">paātrinās</a>, nedz <a href="/wiki/Le%C5%86%C4%B7iskais_pa%C4%81trin%C4%81jums" title="Leņķiskais paātrinājums">pāātrināti griežās</a>), jāizpildās diviem nosacījumiem:<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> </p> <ol><li>Spēku summai visus virzienos jābūt nullei:<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sum _{i=1}^{N}F_{x}=\sum _{i=1}^{N}F_{y}=\sum _{i=1}^{N}F_{z}=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munderover> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>N</mi> </mrow> </munderover> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>N</mi> </mrow> </munderover> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>y</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>N</mi> </mrow> </munderover> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>z</mi> </mrow> </msub> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sum _{i=1}^{N}F_{x}=\sum _{i=1}^{N}F_{y}=\sum _{i=1}^{N}F_{z}=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/029adfb30f6e0af9e90a8d3cadcd549d3fe6c057" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:29.391ex; height:7.343ex;" alt="{\displaystyle \sum _{i=1}^{N}F_{x}=\sum _{i=1}^{N}F_{y}=\sum _{i=1}^{N}F_{z}=0}"></span></li> <li>Spēku momenu summai jābūt vienādi ar nulli: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sum _{i=1}^{N}M_{i}=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munderover> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>N</mi> </mrow> </munderover> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sum _{i=1}^{N}M_{i}=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/547516b2d733bb8011be22dd5d5d0bc8add7ad55" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:11.057ex; height:7.343ex;" alt="{\displaystyle \sum _{i=1}^{N}M_{i}=0}"></span></li></ol> <p>Šādi objekti ir, piemēram, <a href="/wiki/Tilts" title="Tilts">tilti</a>, lustras, <a href="/wiki/Celtnis" title="Celtnis">celtņi</a>, grāmatas uz galda, <a href="/wiki/Trepes" class="mw-redirect" title="Trepes">trepes</a>, kas balstās pret sienu- būtība jebkuri objekti, kuri atrodas pilnīgā līdzsvarā. </p> <div class="mw-heading mw-heading3"><h3 id="Piemērs"><span id="Piem.C4.93rs"></span>Piemērs</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sp%C4%93ka_moments&amp;veaction=edit&amp;section=2" title="Labot sadaļu: Piemērs" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sp%C4%93ka_moments&amp;action=edit&amp;section=2" title="Labot sadaļas vikikodu: Piemērs"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Att%C4%93ls:Torque_balance_exercise_table.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Torque_balance_exercise_table.png/250px-Torque_balance_exercise_table.png" decoding="async" width="250" height="161" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Torque_balance_exercise_table.png/375px-Torque_balance_exercise_table.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Torque_balance_exercise_table.png/500px-Torque_balance_exercise_table.png 2x" data-file-width="643" data-file-height="415" /></a><figcaption>Spēka momenta <a href="/wiki/Statika" title="Statika">statikas</a> piemērs- grāmatas uz galda</figcaption></figure> <ul><li>Grāmatas atrodas uz ozola galda pilnīgā līdzsvarā. Galds sver 40 kg, grāmatas sver 5 kg attālumi <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle l_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle l_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/29b25eeca673386d676f79dce674fe93040693eb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.748ex; height:2.509ex;" alt="{\displaystyle l_{1}}"></span> = 1m, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle l_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle l_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/84708bbc21c20c9834e0e57746dbbc437414c350" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.748ex; height:2.509ex;" alt="{\displaystyle l_{2}}"></span> = <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle l_{3}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle l_{3}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/db811a473c8ad49b60ca8d8556a10da3f1ed84f7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.748ex; height:2.509ex;" alt="{\displaystyle l_{3}}"></span> = 0,5 m. Aprēķināt spēkus <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/100c7fbf174fe8b06eacc2a6b0bb2e1badd1c7ce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.549ex; height:2.509ex;" alt="{\displaystyle F_{1}}"></span>, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0fd17e0779153d765b40ebef91533489b87b2e37" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.549ex; height:2.509ex;" alt="{\displaystyle F_{2}}"></span> ar kādiem galda kājas darbojas.</li></ul> <p>Tā kā ir divi nezināmie <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/100c7fbf174fe8b06eacc2a6b0bb2e1badd1c7ce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.549ex; height:2.509ex;" alt="{\displaystyle F_{1}}"></span> un <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0fd17e0779153d765b40ebef91533489b87b2e37" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.549ex; height:2.509ex;" alt="{\displaystyle F_{2}}"></span>, nepieciešamas divas izteiksmes. </p><p>Viena no izteiskmēm ir spēka momentu līdzsvars. Var kā griežšanās punktu pieņemt <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/100c7fbf174fe8b06eacc2a6b0bb2e1badd1c7ce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.549ex; height:2.509ex;" alt="{\displaystyle F_{1}}"></span> pieliektā spēka punktu. Tādā gadījumā plecs spēkam <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/100c7fbf174fe8b06eacc2a6b0bb2e1badd1c7ce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.549ex; height:2.509ex;" alt="{\displaystyle F_{1}}"></span> būs nulle un spēka momentu formula pierakstīsies kā: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sum {M_{i}}=F_{1}\cdot 0-m_{galds}g\cdot l_{1}-m_{gramatas}g\cdot (l_{1}+l_{2})+F_{2}\cdot (l_{1}+l_{2}+l_{3})=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mrow> <mo>=</mo> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <mn>0</mn> <mo>&#x2212;<!-- − --></mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>g</mi> <mi>a</mi> <mi>l</mi> <mi>d</mi> <mi>s</mi> </mrow> </msub> <mi>g</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>&#x2212;<!-- − --></mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>g</mi> <mi>r</mi> <mi>a</mi> <mi>m</mi> <mi>a</mi> <mi>t</mi> <mi>a</mi> <mi>s</mi> </mrow> </msub> <mi>g</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mo stretchy="false">(</mo> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo>+</mo> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <mo stretchy="false">(</mo> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sum {M_{i}}=F_{1}\cdot 0-m_{galds}g\cdot l_{1}-m_{gramatas}g\cdot (l_{1}+l_{2})+F_{2}\cdot (l_{1}+l_{2}+l_{3})=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9bb19a459fa9b494d4b192fa2a0c0301ea70b9d1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:75.782ex; height:3.843ex;" alt="{\displaystyle \sum {M_{i}}=F_{1}\cdot 0-m_{galds}g\cdot l_{1}-m_{gramatas}g\cdot (l_{1}+l_{2})+F_{2}\cdot (l_{1}+l_{2}+l_{3})=0}"></span>, izsakot <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0fd17e0779153d765b40ebef91533489b87b2e37" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.549ex; height:2.509ex;" alt="{\displaystyle F_{2}}"></span>: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{2}={\frac {m_{galds}g\cdot l_{1}+m_{gramatas}g\cdot (l_{1}+l_{2})}{l_{1}+l_{2}+l_{3}}}\approx 233N}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>g</mi> <mi>a</mi> <mi>l</mi> <mi>d</mi> <mi>s</mi> </mrow> </msub> <mi>g</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>g</mi> <mi>r</mi> <mi>a</mi> <mi>m</mi> <mi>a</mi> <mi>t</mi> <mi>a</mi> <mi>s</mi> </mrow> </msub> <mi>g</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mo stretchy="false">(</mo> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> <mrow> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> </mrow> </mfrac> </mrow> <mo>&#x2248;<!-- ≈ --></mo> <mn>233</mn> <mi>N</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{2}={\frac {m_{galds}g\cdot l_{1}+m_{gramatas}g\cdot (l_{1}+l_{2})}{l_{1}+l_{2}+l_{3}}}\approx 233N}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/44669b708908bf5e5371091369c2d50f672c0867" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:48.728ex; height:6.176ex;" alt="{\displaystyle F_{2}={\frac {m_{galds}g\cdot l_{1}+m_{gramatas}g\cdot (l_{1}+l_{2})}{l_{1}+l_{2}+l_{3}}}\approx 233N}"></span> </p><p>Otra izteiskme ir spēku summa pa <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8a6208ec717213d4317e666f1ae872e00620a0d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.155ex; height:2.009ex;" alt="{\displaystyle y}"></span>-asi. Spēku summa pierakstās kā: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sum {F_{iy}}=F_{1}+F_{2}-m_{galds}\cdot g-m_{gramatas}\cdot g=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>y</mi> </mrow> </msub> </mrow> <mo>=</mo> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>&#x2212;<!-- − --></mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>g</mi> <mi>a</mi> <mi>l</mi> <mi>d</mi> <mi>s</mi> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>g</mi> <mo>&#x2212;<!-- − --></mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>g</mi> <mi>r</mi> <mi>a</mi> <mi>m</mi> <mi>a</mi> <mi>t</mi> <mi>a</mi> <mi>s</mi> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>g</mi> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sum {F_{iy}}=F_{1}+F_{2}-m_{galds}\cdot g-m_{gramatas}\cdot g=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/889486522c6ceae231d9ae2951805bdeb409fdc2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:48.694ex; height:3.843ex;" alt="{\displaystyle \sum {F_{iy}}=F_{1}+F_{2}-m_{galds}\cdot g-m_{gramatas}\cdot g=0}"></span>, izsakot <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/100c7fbf174fe8b06eacc2a6b0bb2e1badd1c7ce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.549ex; height:2.509ex;" alt="{\displaystyle F_{1}}"></span>: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{1}=m_{galds}\cdot g+m_{gramatas}\cdot g-F_{2}\approx 208N}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>g</mi> <mi>a</mi> <mi>l</mi> <mi>d</mi> <mi>s</mi> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>g</mi> <mo>+</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>g</mi> <mi>r</mi> <mi>a</mi> <mi>m</mi> <mi>a</mi> <mi>t</mi> <mi>a</mi> <mi>s</mi> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>g</mi> <mo>&#x2212;<!-- − --></mo> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>&#x2248;<!-- ≈ --></mo> <mn>208</mn> <mi>N</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{1}=m_{galds}\cdot g+m_{gramatas}\cdot g-F_{2}\approx 208N}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/13e5fa0bac7af0a7fbf507f192affc0bbe975196" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:43.389ex; height:2.843ex;" alt="{\displaystyle F_{1}=m_{galds}\cdot g+m_{gramatas}\cdot g-F_{2}\approx 208N}"></span> </p> <div class="mw-heading mw-heading2"><h2 id="Spēka_moments_un_rotācijas_inerce"><span id="Sp.C4.93ka_moments_un_rot.C4.81cijas_inerce"></span>Spēka moments un rotācijas inerce</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sp%C4%93ka_moments&amp;veaction=edit&amp;section=3" title="Labot sadaļu: Spēka moments un rotācijas inerce" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sp%C4%93ka_moments&amp;action=edit&amp;section=3" title="Labot sadaļas vikikodu: Spēka moments un rotācijas inerce"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Lai objektu iegriezrtu, nepieciešams pielikt spēku, bet spēka virziens arī ir svarīgs. Piemēram, velkot <a href="/wiki/Durvis" title="Durvis">durvju</a> rokturi uz leju, durvis atveras, bet, ja šo spēku pieliktu, teiksim, gar rokturi, durvis neatvērtos. Spēka moments ir vienāds ar spēka un attāluma līdz rotācijas ass vekotiālam reizinājumam <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M={\vec {r}}\times {\vec {F}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x00D7;<!-- × --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M={\vec {r}}\times {\vec {F}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3e3b81f515653df5200bfa601ecb79e0f0f0c19c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:11.375ex; height:2.843ex;" alt="{\displaystyle M={\vec {r}}\times {\vec {F}}}"></span>, jeb skaitliski vienāds ar reizinājumu <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M=rF\sin {\alpha }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mo>=</mo> <mi>r</mi> <mi>F</mi> <mi>sin</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>&#x03B1;<!-- α --></mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M=rF\sin {\alpha }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9d701dcefd7a52cc45847d41d962f710388d0bb0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:13.448ex; height:2.176ex;" alt="{\displaystyle M=rF\sin {\alpha }}"></span>, kur <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \alpha }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03B1;<!-- α --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \alpha }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.488ex; height:1.676ex;" alt="{\displaystyle \alpha }"></span> ir leņķis starp <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {r}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {r}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6aec3c9ce13b53e9e24c98e7cce4212627884c91" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.223ex; height:2.343ex;" alt="{\displaystyle {\vec {r}}}"></span> un <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {F}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {F}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ef40edff397a115ecdce7d3518001dfcc7f37d9e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.771ex; height:2.843ex;" alt="{\displaystyle {\vec {F}}}"></span> vektoriem. </p><p>Apskatot spēku, kas pielikts vienai daļiņai, kustoties pa <a href="/wiki/Ri%C5%86%C4%B7a_l%C4%ABnija" title="Riņķa līnija">riņķa līniju</a>, tās paātrinājumu var izteikt kā <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a=\varepsilon r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>=</mo> <mi>&#x03B5;<!-- ε --></mi> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a=\varepsilon r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4c98d48d18d689b7b18562846beee951a8886df6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.46ex; height:1.676ex;" alt="{\displaystyle a=\varepsilon r}"></span> un kā spēku <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F=ma=m\varepsilon r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <mi>m</mi> <mi>a</mi> <mo>=</mo> <mi>m</mi> <mi>&#x03B5;<!-- ε --></mi> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F=ma=m\varepsilon r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fe4438092c8c77171da23cd7ba0c6bc696b9832c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:15.38ex; height:2.176ex;" alt="{\displaystyle F=ma=m\varepsilon r}"></span>, pareizinot ar <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> abas puses iegūst <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M=mr^{2}\varepsilon }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mo>=</mo> <mi>m</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>&#x03B5;<!-- ε --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M=mr^{2}\varepsilon }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3b6939d2b6335e1473ed3aea809a562a996a2112" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.767ex; height:2.676ex;" alt="{\displaystyle M=mr^{2}\varepsilon }"></span>. Lielums <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle mr^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle mr^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ddd9d0ea2911509b014b72a7b536acb7376cb455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.143ex; height:2.676ex;" alt="{\displaystyle mr^{2}}"></span> atbilst <a href="/wiki/Inerces_moments" title="Inerces moments">inerces momentam</a>. </p><p>Ja apskata <a href="/w/index.php?title=Absol%C5%ABti_ciets_%C4%B7ermenis&amp;action=edit&amp;redlink=1" class="new" title="Absolūti ciets ķermenis (vēl nav uzrakstīts)">absolūti cietu rotējošu ķermeni</a>, piemēram, <a href="/wiki/Ritenis" title="Ritenis">riteni</a> kas rotē ap tās centru, ritenis sastāv no daudziem punktiem dažādos attālumos no rotācijas ass, kur katrs atsevišķais spēka moments ir <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{i}=m_{i}r_{i}^{2}\varepsilon }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <msubsup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mi>&#x03B5;<!-- ε --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{i}=m_{i}r_{i}^{2}\varepsilon }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d6f8b7eb9e3f45b6dc17e24a8a3b22c5f64ae3f8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:12.179ex; height:3.176ex;" alt="{\displaystyle M_{i}=m_{i}r_{i}^{2}\varepsilon }"></span>. Iespējams summēt šos spēku momentus: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sum _{i=1}^{n}M_{i}=(\sum _{i=1}^{n}m_{i}r_{i}^{2})\varepsilon }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munderover> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </munderover> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>=</mo> <mo stretchy="false">(</mo> <munderover> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </munderover> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <msubsup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo stretchy="false">)</mo> <mi>&#x03B5;<!-- ε --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sum _{i=1}^{n}M_{i}=(\sum _{i=1}^{n}m_{i}r_{i}^{2})\varepsilon }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6f639abb9451e643a97094cec9294f879d5b31e6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:21.472ex; height:6.843ex;" alt="{\displaystyle \sum _{i=1}^{n}M_{i}=(\sum _{i=1}^{n}m_{i}r_{i}^{2})\varepsilon }"></span>, savukārt <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sum _{i=1}^{n}m_{i}r_{i}^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munderover> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </munderover> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <msubsup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sum _{i=1}^{n}m_{i}r_{i}^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ad924bd9e959450dc572501ddc2fde8460664fc7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:8.685ex; height:6.843ex;" alt="{\displaystyle \sum _{i=1}^{n}m_{i}r_{i}^{2}}"></span> ir cieta ķermeņa inerces moments, tādēļ iegūst <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M=I\varepsilon }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mo>=</mo> <mi>I</mi> <mi>&#x03B5;<!-- ε --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M=I\varepsilon }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/566e197b35ac84a3b82eadda4421491972ebb015" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.796ex; height:2.176ex;" alt="{\displaystyle M=I\varepsilon }"></span>.<sup id="cite_ref-:0_4-0" class="reference"><a href="#cite_note-:0-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Piemērs_2"><span id="Piem.C4.93rs_2"></span>Piemērs</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sp%C4%93ka_moments&amp;veaction=edit&amp;section=4" title="Labot sadaļu: Piemērs" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sp%C4%93ka_moments&amp;action=edit&amp;section=4" title="Labot sadaļas vikikodu: Piemērs"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Att%C4%93ls:Bunar_u_Lonji.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/06/Bunar_u_Lonji.jpg/220px-Bunar_u_Lonji.jpg" decoding="async" width="220" height="293" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/06/Bunar_u_Lonji.jpg/330px-Bunar_u_Lonji.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/06/Bunar_u_Lonji.jpg/440px-Bunar_u_Lonji.jpg 2x" data-file-width="2736" data-file-height="3648" /></a><figcaption>Spainim krītot smaguma dēļ, tas rada sastiepuma spēku ķēdē. Sastiepuma spēks savukārt rada spēka plecu grieztuvē, tā sāk griezties, spainis paātrinās lejā. </figcaption></figure> <ul><li>Virs <a href="/wiki/Aka" title="Aka">akas</a> atrodas <a href="/wiki/Cilindrs" title="Cilindrs">cilindriska</a> grieztuve ar masu <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M=4kg}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mo>=</mo> <mn>4</mn> <mi>k</mi> <mi>g</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M=4kg}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1dc18e09991afffc38f47d2b0a3ed9d9cbb49366" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.03ex; height:2.509ex;" alt="{\displaystyle M=4kg}"></span>, ap grieztuvi <a href="/wiki/%C4%B6%C4%93de" title="Ķēde">ķēdei</a> galā pievienots <a href="/wiki/Spainis" title="Spainis">spainis</a> ar masu <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m=1,5kg}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>5</mn> <mi>k</mi> <mi>g</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m=1,5kg}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5bff723f5b7117028163f885c295c9b499afd5fb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.825ex; height:2.509ex;" alt="{\displaystyle m=1,5kg}"></span>. Aprēķināt spaiņa paātrinājumu, ja ķēdes masa ir neievērojama, ķēde ir nesastiepjama, un starp ķēdi un grieztuvi nav berzes.<sup id="cite_ref-:0_4-1" class="reference"><a href="#cite_note-:0-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup></li></ul> <p>Spēki, kas darbojas uz spaini, ir smaguma spēks un <a href="/w/index.php?title=Sastiepuma_sp%C4%93ks&amp;action=edit&amp;redlink=1" class="new" title="Sastiepuma spēks (vēl nav uzrakstīts)">sastiepuma spēks</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F=ma=mg-T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <mi>m</mi> <mi>a</mi> <mo>=</mo> <mi>m</mi> <mi>g</mi> <mo>&#x2212;<!-- − --></mo> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F=ma=mg-T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3c363d9f73419b587fb8273a916c0d756498dadb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:18.841ex; height:2.509ex;" alt="{\displaystyle F=ma=mg-T}"></span>, savukārt spēka moments grieztuvei ir <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M=I\varepsilon =TR_{o}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mo>=</mo> <mi>I</mi> <mi>&#x03B5;<!-- ε --></mi> <mo>=</mo> <mi>T</mi> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M=I\varepsilon =TR_{o}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2838113ad07236b1995ffaf27ead09be736709c8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:15.324ex; height:2.509ex;" alt="{\displaystyle M=I\varepsilon =TR_{o}}"></span>. Izsakot sastiepuma spēku no spēku summas: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T=m(g-a)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> <mo>=</mo> <mi>m</mi> <mo stretchy="false">(</mo> <mi>g</mi> <mo>&#x2212;<!-- − --></mo> <mi>a</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T=m(g-a)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e1553924117ddb698ec181c6f6b02e94bc81ce0f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:13.771ex; height:2.843ex;" alt="{\displaystyle T=m(g-a)}"></span>, aizvietojot <a href="/wiki/Le%C5%86%C4%B7iskais_pa%C4%81trin%C4%81jums" title="Leņķiskais paātrinājums">leņķiso paātrinājumu</a> ar <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a=\varepsilon R_{o}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>=</mo> <mi>&#x03B5;<!-- ε --></mi> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a=\varepsilon R_{o}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2df7ae36a414c859f538788012fa25409ddb7664" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.205ex; height:2.509ex;" alt="{\displaystyle a=\varepsilon R_{o}}"></span> (tālākā rādiusa paātrinājums atbilst ķēdes paātrinājumam) un ievietojot spēka momenta izteiksmē: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Ia=m(g-a)R_{o}^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mi>a</mi> <mo>=</mo> <mi>m</mi> <mo stretchy="false">(</mo> <mi>g</mi> <mo>&#x2212;<!-- − --></mo> <mi>a</mi> <mo stretchy="false">)</mo> <msubsup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Ia=m(g-a)R_{o}^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/388ad13d43a236ffc413f6760fb04c9c91017070" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:17.354ex; height:3.009ex;" alt="{\displaystyle Ia=m(g-a)R_{o}^{2}}"></span>, atverot iekavas un pārnesot <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> iegūst: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Ia+maR_{o}^{2}=mgR_{o}^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mi>a</mi> <mo>+</mo> <mi>m</mi> <mi>a</mi> <msubsup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo>=</mo> <mi>m</mi> <mi>g</mi> <msubsup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Ia+maR_{o}^{2}=mgR_{o}^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e4359dd541416f8a472d3c5abdf4f52dd5c0e06d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:20.404ex; height:2.843ex;" alt="{\displaystyle Ia+maR_{o}^{2}=mgR_{o}^{2}}"></span>, izsakot <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a={\frac {mgR_{o}^{2}}{I+mR_{o}^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>m</mi> <mi>g</mi> <msubsup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> </mrow> <mrow> <mi>I</mi> <mo>+</mo> <mi>m</mi> <msubsup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a={\frac {mgR_{o}^{2}}{I+mR_{o}^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5450cce38d62a31a80e684c7ac9adc0b436725af" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:14.035ex; height:6.343ex;" alt="{\displaystyle a={\frac {mgR_{o}^{2}}{I+mR_{o}^{2}}}}"></span>, kur <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/535ea7fc4134a31cbe2251d9d3511374bc41be9f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.172ex; height:2.176ex;" alt="{\displaystyle I}"></span> atbilst cilindram <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I={\frac {1}{2}}MR_{o}^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mi>M</mi> <msubsup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I={\frac {1}{2}}MR_{o}^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba417ef3ffea5dea83b3cc4fa6e5774d5ed3ae71" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:11.529ex; height:5.176ex;" alt="{\displaystyle I={\frac {1}{2}}MR_{o}^{2}}"></span>, ievietojot iegūst <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a={\frac {mgR_{o}^{2}}{{\frac {1}{2}}MR_{o}^{2}+mR_{o}^{2}}}={\frac {mg}{{\frac {1}{2}}M+m}}={\frac {1,5\cdot 9,81}{{\frac {1}{2}}\cdot 4+1,5}}\approx 2,8\ m/s^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>m</mi> <mi>g</mi> <msubsup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> </mrow> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mi>M</mi> <msubsup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo>+</mo> <mi>m</mi> <msubsup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>m</mi> <mi>g</mi> </mrow> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mi>M</mi> <mo>+</mo> <mi>m</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>1</mn> <mo>,</mo> <mn>5</mn> <mo>&#x22C5;<!-- ⋅ --></mo> <mn>9</mn> <mo>,</mo> <mn>81</mn> </mrow> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mn>4</mn> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mn>5</mn> </mrow> </mfrac> </mrow> <mo>&#x2248;<!-- ≈ --></mo> <mn>2</mn> <mo>,</mo> <mn>8</mn> <mtext>&#xA0;</mtext> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msup> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a={\frac {mgR_{o}^{2}}{{\frac {1}{2}}MR_{o}^{2}+mR_{o}^{2}}}={\frac {mg}{{\frac {1}{2}}M+m}}={\frac {1,5\cdot 9,81}{{\frac {1}{2}}\cdot 4+1,5}}\approx 2,8\ m/s^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/79b48121ba303c0d4b8882196f326793b9b6ee3a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.338ex; width:59.717ex; height:7.176ex;" alt="{\displaystyle a={\frac {mgR_{o}^{2}}{{\frac {1}{2}}MR_{o}^{2}+mR_{o}^{2}}}={\frac {mg}{{\frac {1}{2}}M+m}}={\frac {1,5\cdot 9,81}{{\frac {1}{2}}\cdot 4+1,5}}\approx 2,8\ m/s^{2}}"></span> </p> <div class="mw-heading mw-heading2"><h2 id="Skatīt_arī"><span id="Skat.C4.ABt_ar.C4.AB"></span>Skatīt arī</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sp%C4%93ka_moments&amp;veaction=edit&amp;section=5" title="Labot sadaļu: Skatīt arī" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sp%C4%93ka_moments&amp;action=edit&amp;section=5" title="Labot sadaļas vikikodu: Skatīt arī"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Kluc%C4%AB%C5%A1u_krau%C5%A1anas_probl%C4%93ma" title="Klucīšu kraušanas problēma">Klucīšu kraušanas problēma</a></li></ul> <table cellspacing="0" class="navbox" style="border-spacing:0;"><tbody><tr><td style="padding:2px;"><table cellspacing="0" class="nowraplinks hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit;"><tbody><tr><th scope="row" class="navbox-group"><a href="/wiki/Autoritat%C4%ABv%C4%81_vad%C4%ABba" title="Autoritatīvā vadība">Autoritatīvā vadība</a></th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px;"><div style="padding:0em 0.25em;"> <ul><li><a rel="nofollow" class="external text" href="//www.worldcat.org/identities/lccn-sh85-136134">WorldCat</a></li> <li><a href="/wiki/Kongresa_bibliot%C4%93ka" title="Kongresa bibliotēka">LCCN</a>: <span class="uid"><a rel="nofollow" class="external text" href="http://id.loc.gov/authorities/names/sh85136134">sh85136134</a></span></li> <li>GND: <span class="uid"><a rel="nofollow" class="external text" href="http://d-nb.info/gnd/4012932-9">4012932-9</a></span></li> <li>NKC: <span class="uid"><a rel="nofollow" class="external text" href="http://aleph.nkp.cz/F/?func=find-c&amp;local_base=aut&amp;ccl_term=ica=ph257858&amp;CON_LNG=ENG">ph257858</a></span></li></ul> </div></td></tr></tbody></table></td></tr></tbody></table> <p><br /> </p> <table class="metadata plainlinks stub" role="presentation" style="background:transparent"><tbody><tr><td><span typeof="mw:File"><a href="/wiki/Att%C4%93ls:Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg" class="mw-file-description"><img alt="Aizmetņa ikona" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg/26px-Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg.png" decoding="async" width="26" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg/40px-Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg/53px-Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg.png 2x" data-file-width="530" data-file-height="600" /></a></span></td><td><i>Šis ar <a href="/wiki/Fizika" title="Fizika">fiziku</a> saistītais raksts ir <a href="/wiki/Vikip%C4%93dija:Aizmetnis" title="Vikipēdija:Aizmetnis">nepilnīgs</a>. Jūs varat <a href="/wiki/Pal%C4%ABdz%C4%ABba:Redi%C4%A3%C4%93%C5%A1ana,_noform%C4%93%C5%A1ana" title="Palīdzība:Rediģēšana, noformēšana">dot savu ieguldījumu</a> Vikipēdijā, <a class="external text" href="https://lv.wikipedia.org/w/index.php?title=Sp%C4%93ka_moments&amp;action=edit">papildinot to</a>.</i><div class="plainlinks hlist navbar mini" style="position: absolute; right: 15px; display: none;"><ul><li class="nv-skatīt"><a href="/wiki/Veidne:Fizika-aizmetnis" title="Veidne:Fizika-aizmetnis"><abbr title="Skatīt šo veidni" style=";">s</abbr></a></li><li class="nv-diskusija"><a href="/w/index.php?title=Veidnes_diskusija:Fizika-aizmetnis&amp;action=edit&amp;redlink=1" class="new" title="Veidnes diskusija:Fizika-aizmetnis (vēl nav uzrakstīts)"><abbr title="Diskusija par šo veidni" style="color:#002bb8;;">d</abbr></a></li><li class="nv-labot"><a class="external text" href="https://lv.wikipedia.org/w/index.php?title=Veidne:Fizika-aizmetnis&amp;action=edit"><abbr title="Labot šo veidni" style=";">l</abbr></a></li></ul></div></td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Atsauces">Atsauces</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sp%C4%93ka_moments&amp;veaction=edit&amp;section=6" title="Labot sadaļu: Atsauces" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sp%C4%93ka_moments&amp;action=edit&amp;section=6" title="Labot sadaļas vikikodu: Atsauces"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="references-small" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-:02-1"><span class="mw-cite-backlink"><a href="#cite_ref-:02_1-0">↑</a></span> <span class="reference-text"><span class="citation web"><a rel="nofollow" class="external text" href="https://gramatas.lndb.lv/periodika2-viewer/?lang=fr#panel:pp%7Cissue:694796%7Cpage:79">«Fizikas rokasgrāmata»</a>. <i>gramatas.lndb.lv</i>. 74, 75.&#160;lpp<span class="reference-accessdate">. Skatīts: <span class="nowrap">2023-12-26</span></span>.</span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><span class="citation web"><a rel="nofollow" class="external text" href="https://www.uzdevumi.lv/p/fizika-skola2030/fizika-i/mijiedarbiba-un-speks-74810/speka-moments-vienkarsie-mehanismi-67326/re-0543167c-f0f4-4a1a-bb9e-c3927c8dc2b2">«Spēka moments — teorija. Fizika (Skola2030), Fizika I.»</a>. <i>www.uzdevumi.lv</i> (latviešu)<span class="reference-accessdate">. Skatīts: <span class="nowrap">2023-12-26</span></span>.</span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><span class="citation web"><a rel="nofollow" class="external text" href="http://hyperphysics.phy-astr.gsu.edu/hbase/torq.html#equi">«Torque and Equilibrium»</a>. <i>hyperphysics.phy-astr.gsu.edu</i><span class="reference-accessdate">. Skatīts: <span class="nowrap">2024-01-06</span></span>.</span></span> </li> <li id="cite_note-:0-4"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-:0_4-0">4,0</a></sup> <sup><a href="#cite_ref-:0_4-1">4,1</a></sup></span> <span class="reference-text"><span class="citation book">Douglas C. Giancoli. <i>Physics for scientists &amp; engineers with Modern Physics Third Edition</i>, 2000. 249., 250., 253.&#160;lpp.</span></span> </li> </ol></div> <!-- NewPP limit report Parsed by mw‐web.codfw.main‐d465dfd78‐j66dp Cached time: 20241126141000 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.138 seconds Real time usage: 0.484 seconds Preprocessor visited node count: 535/1000000 Post‐expand include size: 7379/2097152 bytes Template argument size: 0/2097152 bytes Highest expansion depth: 5/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 4666/5000000 bytes Lua time usage: 0.039/10.000 seconds Lua memory usage: 2212348/52428800 bytes Number of Wikibase entities loaded: 1/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 92.195 1 -total 49.81% 45.919 1 Veidne:Autoritatīvā_vadība 30.07% 27.727 1 Veidne:Atsauces 21.51% 19.831 3 Veidne:Tīmekļa_atsauce 19.94% 18.380 1 Veidne:Kfstub 13.15% 12.122 1 Veidne:Asbox 2.87% 2.649 1 Veidne:Grāmatas_atsauce --> <!-- Saved in parser cache with key lvwiki:pcache:42359:|#|:idhash:canonical and timestamp 20241126141000 and revision id 4123042. 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