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Pendul - Wikipedia, den frie encyklopædi
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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">Indhold</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">flyt til sidebjælken</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">skjul</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Indledning</div> </a> </li> <li id="toc-Beregningsmodeller" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Beregningsmodeller"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Beregningsmodeller</span> </div> </a> <button aria-controls="toc-Beregningsmodeller-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>Vis/skjul underafsnit Beregningsmodeller</span> </button> <ul id="toc-Beregningsmodeller-sublist" class="vector-toc-list"> <li id="toc-Matematisk_pendul" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Matematisk_pendul"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Matematisk pendul</span> </div> </a> <ul id="toc-Matematisk_pendul-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Fysisk_pendul" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Fysisk_pendul"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Fysisk pendul</span> </div> </a> <ul id="toc-Fysisk_pendul-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Fjederpendul" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Fjederpendul"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3</span> <span>Fjederpendul</span> </div> </a> <ul id="toc-Fjederpendul-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Elastisk_pendul" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Elastisk_pendul"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.4</span> <span>Elastisk pendul</span> </div> </a> <ul id="toc-Elastisk_pendul-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Referencer" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referencer"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Referencer</span> </div> </a> <ul id="toc-Referencer-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="Indhold" 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="Vis/skjul indholdsfortegnelsen" > <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">Vis/skjul indholdsfortegnelsen</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">Pendul</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="Gå til en artikel på et andet sprog. Tilgængelig på 77 sprog" > <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 sprog</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%86%D9%88%D8%A7%D8%B3" title="نواس – arabisk" lang="ar" hreflang="ar" data-title="نواس" data-language-autonym="العربية" data-language-local-name="arabisk" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/P%C3%A9ndulu" title="Péndulu – asturisk" lang="ast" hreflang="ast" data-title="Péndulu" data-language-autonym="Asturianu" data-language-local-name="asturisk" 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/K%C9%99fgir" title="Kəfgir – aserbajdsjansk" lang="az" hreflang="az" data-title="Kəfgir" data-language-autonym="Azərbaycanca" data-language-local-name="aserbajdsjansk" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%B0%D1%8F%D1%82%D0%BD%D1%96%D0%BA" title="Маятнік – belarusisk" lang="be" hreflang="be" data-title="Маятнік" data-language-autonym="Беларуская" data-language-local-name="belarusisk" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9C%D0%B0%D1%85%D0%B0%D0%BB%D0%BE" title="Махало – bulgarsk" lang="bg" hreflang="bg" data-title="Махало" data-language-autonym="Български" data-language-local-name="bulgarsk" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bjn mw-list-item"><a href="https://bjn.wikipedia.org/wiki/Timbatu" title="Timbatu – Banjar" lang="bjn" hreflang="bjn" data-title="Timbatu" data-language-autonym="Banjar" data-language-local-name="Banjar" class="interlanguage-link-target"><span>Banjar</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B8%E0%A6%B0%E0%A6%B2_%E0%A6%A6%E0%A7%8B%E0%A6%B2%E0%A6%95" title="সরল দোলক – bengali" lang="bn" hreflang="bn" data-title="সরল দোলক" data-language-autonym="বাংলা" data-language-local-name="bengali" 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/Klatno" title="Klatno – bosnisk" lang="bs" hreflang="bs" data-title="Klatno" data-language-autonym="Bosanski" data-language-local-name="bosnisk" 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/P%C3%A8ndol" title="Pèndol – catalansk" lang="ca" hreflang="ca" data-title="Pèndol" data-language-autonym="Català" data-language-local-name="catalansk" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Kyvadlo" title="Kyvadlo – tjekkisk" lang="cs" hreflang="cs" data-title="Kyvadlo" data-language-autonym="Čeština" data-language-local-name="tjekkisk" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Pendel" title="Pendel – tysk" lang="de" hreflang="de" data-title="Pendel" data-language-autonym="Deutsch" data-language-local-name="tysk" 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%95%CE%BA%CE%BA%CF%81%CE%B5%CE%BC%CE%AD%CF%82" title="Εκκρεμές – græsk" lang="el" hreflang="el" data-title="Εκκρεμές" data-language-autonym="Ελληνικά" data-language-local-name="græsk" 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/Pendulum" title="Pendulum – engelsk" lang="en" hreflang="en" data-title="Pendulum" data-language-autonym="English" data-language-local-name="engelsk" 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/Pendolo" title="Pendolo – esperanto" lang="eo" hreflang="eo" data-title="Pendolo" 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/P%C3%A9ndulo" title="Péndulo – spansk" lang="es" hreflang="es" data-title="Péndulo" data-language-autonym="Español" data-language-local-name="spansk" 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/Pendel" title="Pendel – estisk" lang="et" hreflang="et" data-title="Pendel" data-language-autonym="Eesti" data-language-local-name="estisk" 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/Pendulu" title="Pendulu – baskisk" lang="eu" hreflang="eu" data-title="Pendulu" data-language-autonym="Euskara" data-language-local-name="baskisk" 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/%D8%A2%D9%88%D9%86%DA%AF" title="آونگ – persisk" lang="fa" hreflang="fa" data-title="آونگ" data-language-autonym="فارسی" data-language-local-name="persisk" 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/Heiluri" title="Heiluri – finsk" lang="fi" hreflang="fi" data-title="Heiluri" data-language-autonym="Suomi" data-language-local-name="finsk" 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/Pendule_(physique)" title="Pendule (physique) – fransk" lang="fr" hreflang="fr" data-title="Pendule (physique)" data-language-autonym="Français" data-language-local-name="fransk" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Luascad%C3%A1n" title="Luascadán – irsk" lang="ga" hreflang="ga" data-title="Luascadán" data-language-autonym="Gaeilge" data-language-local-name="irsk" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E9%90%98%E6%93%BA" title="鐘擺 – gan-kinesisk" lang="gan" hreflang="gan" data-title="鐘擺" data-language-autonym="贛語" data-language-local-name="gan-kinesisk" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Pandoul_(fizik)" title="Pandoul (fizik) – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Pandoul (fizik)" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/P%C3%A9ndulo" title="Péndulo – galicisk" lang="gl" hreflang="gl" data-title="Péndulo" data-language-autonym="Galego" data-language-local-name="galicisk" 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%98%D7%95%D7%98%D7%9C%D7%AA" title="מטוטלת – hebraisk" lang="he" hreflang="he" data-title="מטוטלת" data-language-autonym="עברית" data-language-local-name="hebraisk" 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%B2%E0%A5%8B%E0%A4%B2%E0%A4%95" title="लोलक – hindi" lang="hi" hreflang="hi" data-title="लोलक" 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/Njihalo" title="Njihalo – kroatisk" lang="hr" hreflang="hr" data-title="Njihalo" data-language-autonym="Hrvatski" data-language-local-name="kroatisk" 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/Pandil" title="Pandil – haitisk" lang="ht" hreflang="ht" data-title="Pandil" data-language-autonym="Kreyòl ayisyen" data-language-local-name="haitisk" 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/Fizikai_inga" title="Fizikai inga – ungarsk" lang="hu" hreflang="hu" data-title="Fizikai inga" data-language-autonym="Magyar" data-language-local-name="ungarsk" 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%83%D5%B8%D5%B3%D5%A1%D5%B6%D5%A1%D5%AF" title="Ճոճանակ – armensk" lang="hy" hreflang="hy" data-title="Ճոճանակ" data-language-autonym="Հայերեն" data-language-local-name="armensk" 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/Bandul" title="Bandul – indonesisk" lang="id" hreflang="id" data-title="Bandul" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesisk" 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/Pendulo" title="Pendulo – ido" lang="io" hreflang="io" data-title="Pendulo" 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/Pend%C3%BAll" title="Pendúll – islandsk" lang="is" hreflang="is" data-title="Pendúll" data-language-autonym="Íslenska" data-language-local-name="islandsk" 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/Pendolo" title="Pendolo – italiensk" lang="it" hreflang="it" data-title="Pendolo" data-language-autonym="Italiano" data-language-local-name="italiensk" 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/%E6%8C%AF%E3%82%8A%E5%AD%90" title="振り子 – japansk" lang="ja" hreflang="ja" data-title="振り子" data-language-autonym="日本語" data-language-local-name="japansk" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Penjulom" title="Penjulom – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Penjulom" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A5%E1%83%90%E1%83%9C%E1%83%A5%E1%83%90%E1%83%A0%E1%83%90" title="ქანქარა – georgisk" lang="ka" hreflang="ka" data-title="ქანქარა" data-language-autonym="ქართული" data-language-local-name="georgisk" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%8F%D1%82%D0%BD%D0%B8%D0%BA" title="Маятник – kasakhisk" lang="kk" hreflang="kk" data-title="Маятник" data-language-autonym="Қазақша" data-language-local-name="kasakhisk" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%B2%E0%B3%8B%E0%B2%B2%E0%B2%95" title="ಲೋಲಕ – kannada" lang="kn" hreflang="kn" data-title="ಲೋಲಕ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%A7%84%EC%9E%90" title="진자 – koreansk" lang="ko" hreflang="ko" data-title="진자" data-language-autonym="한국어" data-language-local-name="koreansk" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9C%D0%B0%D1%8F%D1%82%D0%BD%D0%B8%D0%BA" title="Маятник – kirgisisk" lang="ky" hreflang="ky" data-title="Маятник" data-language-autonym="Кыргызча" data-language-local-name="kirgisisk" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Pendulum" title="Pendulum – latin" lang="la" hreflang="la" data-title="Pendulum" data-language-autonym="Latina" data-language-local-name="latin" 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/Fizin%C4%97_svyruokl%C4%97" title="Fizinė svyruoklė – litauisk" lang="lt" hreflang="lt" data-title="Fizinė svyruoklė" data-language-autonym="Lietuvių" data-language-local-name="litauisk" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Sv%C4%81rsts" title="Svārsts – lettisk" lang="lv" hreflang="lv" data-title="Svārsts" data-language-autonym="Latviešu" data-language-local-name="lettisk" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%AA%E0%B5%86%E0%B5%BB%E0%B4%A1%E0%B5%81%E0%B4%B2%E0%B4%82" title="പെൻഡുലം – malayalam" lang="ml" hreflang="ml" data-title="പെൻഡുലം" data-language-autonym="മലയാളം" data-language-local-name="malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Bandul" title="Bandul – malajisk" lang="ms" hreflang="ms" data-title="Bandul" data-language-autonym="Bahasa Melayu" data-language-local-name="malajisk" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/P%C3%A9ndulo_simples" title="Péndulo simples – mirandesisk" lang="mwl" hreflang="mwl" data-title="Péndulo simples" data-language-autonym="Mirandés" data-language-local-name="mirandesisk" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Slinger_(natuurkunde)" title="Slinger (natuurkunde) – nederlandsk" lang="nl" hreflang="nl" data-title="Slinger (natuurkunde)" data-language-autonym="Nederlands" data-language-local-name="nederlandsk" 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/Pendel" title="Pendel – nynorsk" lang="nn" hreflang="nn" data-title="Pendel" data-language-autonym="Norsk nynorsk" data-language-local-name="nynorsk" 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/Pendel" title="Pendel – bokmål" lang="nb" hreflang="nb" data-title="Pendel" data-language-autonym="Norsk bokmål" data-language-local-name="bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%AA%E0%A9%88%E0%A8%82%E0%A8%A1%E0%A9%82%E0%A8%B2%E0%A8%AE" title="ਪੈਂਡੂਲਮ – punjabisk" lang="pa" hreflang="pa" data-title="ਪੈਂਡੂਲਮ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="punjabisk" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Historia_i_zastosowania_wahad%C5%82a" title="Historia i zastosowania wahadła – polsk" lang="pl" hreflang="pl" data-title="Historia i zastosowania wahadła" data-language-autonym="Polski" data-language-local-name="polsk" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/P%C3%AAndulo" title="Pêndulo – portugisisk" lang="pt" hreflang="pt" data-title="Pêndulo" data-language-autonym="Português" data-language-local-name="portugisisk" 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/Pendul_gravita%C8%9Bional" title="Pendul gravitațional – rumænsk" lang="ro" hreflang="ro" data-title="Pendul gravitațional" data-language-autonym="Română" data-language-local-name="rumænsk" 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%B0%D1%8F%D1%82%D0%BD%D0%B8%D0%BA" title="Маятник – russisk" lang="ru" hreflang="ru" data-title="Маятник" data-language-autonym="Русский" data-language-local-name="russisk" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Pendle" title="Pendle – skotsk" lang="sco" hreflang="sco" data-title="Pendle" data-language-autonym="Scots" data-language-local-name="skotsk" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Klatno" title="Klatno – serbokroatisk" lang="sh" hreflang="sh" data-title="Klatno" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbokroatisk" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%B4%E0%B7%90%E0%B6%AF%E0%B7%92%E0%B6%BD%E0%B6%B9%E0%B6%BA" title="පැදිලඹය – singalesisk" lang="si" hreflang="si" data-title="පැදිලඹය" data-language-autonym="සිංහල" data-language-local-name="singalesisk" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Pendulum" title="Pendulum – Simple English" lang="en-simple" hreflang="en-simple" data-title="Pendulum" 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/Kyvadlo" title="Kyvadlo – slovakisk" lang="sk" hreflang="sk" data-title="Kyvadlo" data-language-autonym="Slovenčina" data-language-local-name="slovakisk" 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/Nihalo" title="Nihalo – slovensk" lang="sl" hreflang="sl" data-title="Nihalo" data-language-autonym="Slovenščina" data-language-local-name="slovensk" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/Klatno" title="Klatno – serbisk" lang="sr" hreflang="sr" data-title="Klatno" data-language-autonym="Српски / srpski" data-language-local-name="serbisk" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Babandul" title="Babandul – sundanesisk" lang="su" hreflang="su" data-title="Babandul" data-language-autonym="Sunda" data-language-local-name="sundanesisk" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Pendel" title="Pendel – svensk" lang="sv" hreflang="sv" data-title="Pendel" data-language-autonym="Svenska" data-language-local-name="svensk" 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%8A%E0%AE%9A%E0%AE%B2%E0%AF%8D_(%E0%AE%87%E0%AE%AF%E0%AE%B1%E0%AF%8D%E0%AE%AA%E0%AE%BF%E0%AE%AF%E0%AE%B2%E0%AF%8D)" title="ஊசல் (இயற்பியல்) – tamil" lang="ta" hreflang="ta" data-title="ஊசல் (இயற்பியல்)" data-language-autonym="தமிழ்" data-language-local-name="tamil" 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%B2%E0%B1%8B%E0%B0%B2%E0%B0%95%E0%B0%AE%E0%B1%81" title="లోలకము – telugu" lang="te" hreflang="te" data-title="లోలకము" data-language-autonym="తెలుగు" data-language-local-name="telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%A0%D0%B0%D2%9B%D2%9B%D0%BE%D1%81%D0%B0%D0%BA" title="Раққосак – tadsjikisk" lang="tg" hreflang="tg" data-title="Раққосак" data-language-autonym="Тоҷикӣ" data-language-local-name="tadsjikisk" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Pendulo" title="Pendulo – tagalog" lang="tl" hreflang="tl" data-title="Pendulo" data-language-autonym="Tagalog" data-language-local-name="tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Sarka%C3%A7" title="Sarkaç – tyrkisk" lang="tr" hreflang="tr" data-title="Sarkaç" data-language-autonym="Türkçe" data-language-local-name="tyrkisk" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%9C%D0%B0%D1%8F%D1%82%D0%BD%D0%B8%D0%BA" title="Маятник – tatarisk" lang="tt" hreflang="tt" data-title="Маятник" data-language-autonym="Татарча / tatarça" data-language-local-name="tatarisk" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%8F%D1%82%D0%BD%D0%B8%D0%BA" title="Маятник – ukrainsk" lang="uk" hreflang="uk" data-title="Маятник" data-language-autonym="Українська" data-language-local-name="ukrainsk" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Mayatnik" title="Mayatnik – usbekisk" lang="uz" hreflang="uz" data-title="Mayatnik" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="usbekisk" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Con_l%E1%BA%AFc" title="Con lắc – vietnamesisk" lang="vi" hreflang="vi" data-title="Con lắc" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamesisk" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Pendulo" title="Pendulo – waray" lang="war" hreflang="war" data-title="Pendulo" data-language-autonym="Winaray" data-language-local-name="waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%91%86" title="摆 – wu-kinesisk" lang="wuu" hreflang="wuu" data-title="摆" data-language-autonym="吴语" data-language-local-name="wu-kinesisk" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%93%BA" title="擺 – kinesisk" lang="zh" hreflang="zh" data-title="擺" data-language-autonym="中文" data-language-local-name="kinesisk" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%93%BA" title="擺 – kantonesisk" lang="yue" hreflang="yue" data-title="擺" data-language-autonym="粵語" data-language-local-name="kantonesisk" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q20702#sitelinks-wikipedia" title="Redigér sproglinks" class="wbc-editpage">Redigér links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Navnerum"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Pendul" title="Se indholdssiden [c]" accesskey="c"><span>Artikel</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Diskussion:Pendul" rel="discussion" title="Diskussion om indholdet på siden [t]" accesskey="t"><span>Diskussion</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Ændr sprogvariant" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">dansk</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Visninger"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Pendul"><span>Læs</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Pendul&veaction=edit" title="Redigér denne side [v]" accesskey="v"><span>Redigér</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Pendul&action=edit" title="Rediger kildekoden for denne side [e]" accesskey="e"><span>Rediger kildekode</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Pendul&action=history" title="Tidligere versioner af denne side [h]" accesskey="h"><span>Se historik</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Sideværktøjer"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Værktøjer" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Værktøjer</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Værktøjer</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">flyt til sidebjælken</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">skjul</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Flere muligheder" > <div class="vector-menu-heading"> Handlinger </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Pendul"><span>Læs</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Pendul&veaction=edit" title="Redigér denne side [v]" accesskey="v"><span>Redigér</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Pendul&action=edit" title="Rediger kildekoden for denne side [e]" accesskey="e"><span>Rediger kildekode</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Pendul&action=history"><span>Se historik</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Generelt </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Speciel:Hvad_linker_hertil/Pendul" title="Liste med alle sider som henviser hertil [j]" accesskey="j"><span>Hvad henviser hertil</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Speciel:Relaterede_%C3%A6ndringer/Pendul" rel="nofollow" title="Seneste ændringer af sider som denne side henviser til [k]" accesskey="k"><span>Beslægtede ændringer</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=da&campaign=dk" title="Upload filer [u]" accesskey="u"><span>Upload fil</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Speciel:Specialsider" title="Liste over alle specialsider [q]" accesskey="q"><span>Specialsider</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Pendul&oldid=11164102" title="Permanent link til denne version af denne side"><span>Permanent link</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Pendul&action=info" title="Yderligere oplysninger om denne side"><span>Sideinformation</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Speciel:Citer&page=Pendul&id=11164102&wpFormIdentifier=titleform" title="Information om, hvordan man kan citere denne side"><span>Referer til denne side</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Speciel:UrlShortener&url=https%3A%2F%2Fda.wikipedia.org%2Fw%2Findex.php%3Ftitle%3DPendul%26veaction%3Dedit"><span>Hent forkortet URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Speciel:QrCode&url=https%3A%2F%2Fda.wikipedia.org%2Fw%2Findex.php%3Ftitle%3DPendul%26veaction%3Dedit"><span>Download QR-kode</span></a></li> </ul> </div> </div> <div id="p-Organisation" class="vector-menu mw-portlet mw-portlet-Organisation" > <div class="vector-menu-heading"> Organisation </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-contact" class="mw-list-item"><a href="/wiki/Wikipedia:Kontakt_Wikipedia"><span>Kontakt Wikipedia</span></a></li><li id="n-Wikimedia-Danmark" class="mw-list-item"><a href="https://dk.wikimedia.org/wiki/"><span>Wikimedia Danmark</span></a></li><li id="n-GLAM" class="mw-list-item"><a href="/wiki/Wikipedia:GLAM"><span>GLAM</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Udskriv/eksportér </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Speciel:Bog&bookcmd=book_creator&referer=Pendul"><span>Lav en bog</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Speciel:DownloadAsPdf&page=Pendul&action=show-download-screen"><span>Download som PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Pendul&printable=yes" title="Printervenlig udgave af denne side [p]" accesskey="p"><span>Udskriftsvenlig udgave</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> I andre projekter </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Pendulums" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q20702" title="Link til tilknyttet emne i Wikidata [g]" accesskey="g"><span>Wikidata-element</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Sideværktøjer"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Udseende"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Udseende</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">flyt til sidebjælken</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">skjul</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">Fra Wikipedia, den frie encyklopædi</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="da" dir="ltr"><dl><dd><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/Disambig_bordered_fade.svg/19px-Disambig_bordered_fade.svg.png" decoding="async" width="19" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/Disambig_bordered_fade.svg/29px-Disambig_bordered_fade.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fd/Disambig_bordered_fade.svg/38px-Disambig_bordered_fade.svg.png 2x" data-file-width="236" data-file-height="185" /></span></span><i> For alternative betydninger, se <a href="/wiki/Pendulum" class="mw-disambig" title="Pendulum">Pendulum</a>.</i> <small>(<a href="/wiki/Speciel:Pr%C3%A6fiksindeks/Pendulum" title="Speciel:Præfiksindeks/Pendulum">Se også artikler, som begynder med Pendulum</a>)</small></dd></dl> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fil:Pendelschwingung.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Pendelschwingung.gif/220px-Pendelschwingung.gif" decoding="async" width="220" height="238" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Pendelschwingung.gif/330px-Pendelschwingung.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Pendelschwingung.gif/440px-Pendelschwingung.gif 2x" data-file-width="600" data-file-height="650" /></a><figcaption>Et pendul i sving.</figcaption></figure> <p>Et <b>pendul</b> (af <a href="/wiki/Latin" title="Latin">latin</a>: <i>pendulus</i>, "hængende") er et fysisk instrument, der består af en vægt, der hænger ned fra et omdrejningspunkt, så den kan <a href="/wiki/Svingning" title="Svingning">svinge</a> frit. Når et pendul forskydes sidelæns fra <a href="/w/index.php?title=Ligev%C3%A6gt&action=edit&redlink=1" class="new" title="Ligevægt (ikke skrevet endnu)">ligevægt</a> og slippes, får <a href="/wiki/Gravitation" title="Gravitation">tyngdekraften</a> det til at accelerere tilbage mod ligevægtspunktet og svinger frem og tilbage forbi ligevægtspositionen. Tiden for en fuld svingning frem og tilbage kaldes pendulets periode. Perioden afhænger af pendulets længde og i mindre grad også af amplituden, størrelsen af pendulets udsving. </p><p>Fra Galileis første videnskabelige undersøgelser af pendulet omkring 1602 er pendulets regelmæssige bevægelser blevet brugt til tidsmåling, og de var den mest præcise teknologi til tidsmåling til 1930'erne. <a href="/w/index.php?title=Pendulur&action=edit&redlink=1" class="new" title="Pendulur (ikke skrevet endnu)">Penduluret</a>, som blev opfundet af <a href="/wiki/Christiaan_Huygens" title="Christiaan Huygens">Christiaan Huygens</a> i 1658, blev verdensstandarden for tidsmåling i hjem og på kontorer i 270 år og nåede en præcision på omkring ét sekunds afvigelse per år, før det blev erstattet af <a href="/wiki/Kvartsur" title="Kvartsur">kvartsuret</a> i 1930'erne. </p><p>Penduler bruges også i videnskabelige instrumenter som <a href="/wiki/Accelerometer" title="Accelerometer">accelerometre</a> og <a href="/wiki/Seismograf" title="Seismograf">seismografer</a>. Historisk er de også brugt ved <a href="/wiki/Geofysik" title="Geofysik">geofysiske</a> undersøgelser til at måle variationen i tyngdeaccelerationen og endda også som en længdestandard. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Beregningsmodeller">Beregningsmodeller</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Pendul&veaction=edit&section=1" title="Redigér afsnit: Beregningsmodeller" class="mw-editsection-visualeditor"><span>redigér</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Pendul&action=edit&section=1" title="Edit section's source code: Beregningsmodeller"><span>rediger kildetekst</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Der er flere <a href="/wiki/Fysik" title="Fysik">fysiske</a> <a href="/wiki/Model_(matematik)" title="Model (matematik)">beregningsmodeller</a> for et penduls svingning – bl.a. det <a href="/wiki/Matematisk_pendul" title="Matematisk pendul">matematiske pendul</a>, der er en forholdsvis simpel beregningsmodel - og det <a href="/wiki/Fysisk_pendul" title="Fysisk pendul">fysiske pendul</a>, der kan bruges i mere komplicerede tilfælde. De er begge approksimationer, da de bygger på tilnærmelsen om den <a href="/wiki/Lille_vinkel" title="Lille vinkel">lille vinkel</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 \sin \theta \approx \theta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>sin</mi> <mo>⁡<!-- --></mo> <mi>θ<!-- θ --></mi> <mo>≈<!-- ≈ --></mo> <mi>θ<!-- θ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sin \theta \approx \theta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9a604432d08fc1bd289e40ba08eed0c7ec697ea3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.522ex; height:2.176ex;" alt="{\displaystyle \sin \theta \approx \theta }"></span>, som gælder for små værdier af amplituden <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 \theta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>θ<!-- θ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \theta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6e5ab2664b422d53eb0c7df3b87e1360d75ad9af" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.09ex; height:2.176ex;" alt="{\displaystyle \theta }"></span>. Dette giver anledning til en <a href="/w/index.php?title=Simpel_harmonisk_oscillation&action=edit&redlink=1" class="new" title="Simpel harmonisk oscillation (ikke skrevet endnu)">simpel harmonisk oscillation</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Matematisk_pendul">Matematisk pendul</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Pendul&veaction=edit&section=2" title="Redigér afsnit: Matematisk pendul" class="mw-editsection-visualeditor"><span>redigér</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Pendul&action=edit&section=2" title="Edit section's source code: Matematisk pendul"><span>rediger kildetekst</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="detail"><span><span typeof="mw:File"><span title="Uddybende"><img alt="Uddybende" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/Searchtool.svg/15px-Searchtool.svg.png" decoding="async" width="15" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/Searchtool.svg/23px-Searchtool.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/61/Searchtool.svg/30px-Searchtool.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> <span>Uddybende artikel: <a href="/wiki/Matematisk_pendul" title="Matematisk pendul">Matematisk pendul</a></span></span></div> <p>For det matematiske pendul tilnærmes perioden <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}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec7200acd984a1d3a3d7dc455e262fbe54f7f6e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.636ex; height:2.176ex;" alt="{\displaystyle T}"></span> (svingningstiden) som </p> <dl><dd><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=2\pi {\sqrt {\frac {L}{g}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> <mo>=</mo> <mn>2</mn> <mi>π<!-- π --></mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mi>L</mi> <mi>g</mi> </mfrac> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T=2\pi {\sqrt {\frac {L}{g}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9a126887719a048aba2314019cef7f7822b6892d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:11.972ex; height:7.509ex;" alt="{\displaystyle T=2\pi {\sqrt {\frac {L}{g}}}}"></span></dd></dl> <p>hvor <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/103168b86f781fe6e9a4a87b8ea1cebe0ad4ede8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.583ex; height:2.176ex;" alt="{\displaystyle L}"></span> er længen af en masseløs lodsnor, der fra omdrejningspunktet til pendulets masse, der er antaget samlet i et enkelt punkt. <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 g}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>g</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle g}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d3556280e66fe2c0d0140df20935a6f057381d77" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.116ex; height:2.009ex;" alt="{\displaystyle g}"></span> er <a href="/wiki/Tyngdeacceleration" title="Tyngdeacceleration">tyngdeaccelerationen</a>, som er ca. 9,8 m/s² de fleste steder på <a href="/wiki/Jorden" title="Jorden">Jordens</a> overflade. </p> <div class="mw-heading mw-heading3"><h3 id="Fysisk_pendul">Fysisk pendul</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Pendul&veaction=edit&section=3" title="Redigér afsnit: Fysisk pendul" class="mw-editsection-visualeditor"><span>redigér</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Pendul&action=edit&section=3" title="Edit section's source code: Fysisk pendul"><span>rediger kildetekst</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="detail"><span><span typeof="mw:File"><span title="Uddybende"><img alt="Uddybende" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/Searchtool.svg/15px-Searchtool.svg.png" decoding="async" width="15" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/Searchtool.svg/23px-Searchtool.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/61/Searchtool.svg/30px-Searchtool.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> <span>Uddybende artikel: <a href="/wiki/Fysisk_pendul" title="Fysisk pendul">Fysisk pendul</a></span></span></div> <p>For det fysiske pendul bruges i stedet formlen </p> <dl><dd><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=2\pi {\sqrt {\frac {I}{dgm}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> <mo>=</mo> <mn>2</mn> <mi>π<!-- π --></mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mi>I</mi> <mrow> <mi>d</mi> <mi>g</mi> <mi>m</mi> </mrow> </mfrac> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T=2\pi {\sqrt {\frac {I}{dgm}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1eac7efff1764501dbc9e9c3486959625730e53f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.338ex; width:14.761ex; height:7.676ex;" alt="{\displaystyle T=2\pi {\sqrt {\frac {I}{dgm}}}}"></span></dd></dl> <p>hvor <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> er <a href="/wiki/Inertimoment" title="Inertimoment">inertimomentet</a> omkring omdrejningsaksen, <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> er afstanden fra omdrejningsakse til pendulets massecenter, og <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/0a07d98bb302f3856cbabc47b2b9016692e3f7bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.04ex; height:1.676ex;" alt="{\displaystyle m}"></span> er pendulets masse. </p> <div class="mw-heading mw-heading3"><h3 id="Fjederpendul">Fjederpendul</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Pendul&veaction=edit&section=4" title="Redigér afsnit: Fjederpendul" class="mw-editsection-visualeditor"><span>redigér</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Pendul&action=edit&section=4" title="Edit section's source code: Fjederpendul"><span>rediger kildetekst</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="detail"><span><span typeof="mw:File"><span title="Uddybende"><img alt="Uddybende" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/Searchtool.svg/15px-Searchtool.svg.png" decoding="async" width="15" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/Searchtool.svg/23px-Searchtool.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/61/Searchtool.svg/30px-Searchtool.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> <span>Uddybende artikel: <a href="/wiki/Fjederpendul" class="mw-redirect" title="Fjederpendul">Fjederpendul</a></span></span></div> <p>I et fjederpendul hopper loddet op og ned, fordi det hænger i en <a href="/wiki/Fjeder" title="Fjeder">fjeder</a>. Fjederen modelleres med <a href="/wiki/Hookes_lov" title="Hookes lov">Hookes lov</a>, og det givet derfor stadig en simpel harmonisk oscillation med perioden </p> <dl><dd><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=2\pi {\sqrt {\frac {m}{k}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> <mo>=</mo> <mn>2</mn> <mi>π<!-- π --></mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mi>m</mi> <mi>k</mi> </mfrac> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T=2\pi {\sqrt {\frac {m}{k}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cfe96d957f67cf00dd80be7aceee0c7d89b306ad" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:12.429ex; height:6.176ex;" alt="{\displaystyle T=2\pi {\sqrt {\frac {m}{k}}}}"></span></dd></dl> <p>hvor <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 k}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c3c9a2c7b599b37105512c5d570edc034056dd40" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.211ex; height:2.176ex;" alt="{\displaystyle k}"></span> er <a href="/wiki/Fjederkonstant" title="Fjederkonstant">fjederkonstanten</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Elastisk_pendul">Elastisk pendul</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Pendul&veaction=edit&section=5" title="Redigér afsnit: Elastisk pendul" class="mw-editsection-visualeditor"><span>redigér</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Pendul&action=edit&section=5" title="Edit section's source code: Elastisk pendul"><span>rediger kildetekst</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="detail"><span><span typeof="mw:File"><span title="Uddybende"><img alt="Uddybende" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/Searchtool.svg/15px-Searchtool.svg.png" decoding="async" width="15" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/Searchtool.svg/23px-Searchtool.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/61/Searchtool.svg/30px-Searchtool.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> <span>Uddybende artikel: <a href="/wiki/Elastisk_pendul" title="Elastisk pendul">Elastisk pendul</a></span></span></div> <p>Et elastisk pendul svinger i planet, men har også et elastisk snor. Det kan modelleres ved at kombinere det matematiske pendul og med fjederpendulet. Det givet da en mere kompleks bevægelse, der ikke længere er simpel harmonisk. </p> <div class="mw-heading mw-heading2"><h2 id="Referencer">Referencer</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Pendul&veaction=edit&section=6" title="Redigér afsnit: Referencer" class="mw-editsection-visualeditor"><span>redigér</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Pendul&action=edit&section=6" title="Edit section's source code: Referencer"><span>rediger kildetekst</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r11780210">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> </div> <dl><dd><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/19px-Question_book-4.svg.png" decoding="async" width="19" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/29px-Question_book-4.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/38px-Question_book-4.svg.png 2x" data-file-width="262" data-file-height="204" /></span></span> <i>Der er for få eller ingen <a href="/wiki/Wikipedia:Kildeangivelser" title="Wikipedia:Kildeangivelser">kildehenvisninger</a> i denne artikel, <a href="/wiki/Wikipedia:Verificerbarhed" title="Wikipedia:Verificerbarhed">hvilket er et problem</a>. 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