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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">Tartalomjegyzék</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">áthelyezés az oldalsávba</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">elrejtés</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">Bevezető</div> </a> </li> <li id="toc-Alapfogalmak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Alapfogalmak"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Alapfogalmak</span> </div> </a> <ul id="toc-Alapfogalmak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Emelő" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Emelő"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Emelő</span> </div> </a> <ul id="toc-Emelő-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Lejtő" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Lejtő"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Lejtő</span> </div> </a> <ul id="toc-Lejtő-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ék" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ék"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Ék</span> </div> </a> <ul id="toc-Ék-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Csavar" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Csavar"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Csavar</span> </div> </a> <ul id="toc-Csavar-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Csiga" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Csiga"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Csiga</span> </div> </a> <ul id="toc-Csiga-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Hengerkerék" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Hengerkerék"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Hengerkerék</span> </div> </a> <ul id="toc-Hengerkerék-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-További_információk" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#További_információk"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>További információk</span> </div> </a> <ul id="toc-További_információk-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="Tartalomjegyzék" 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="Tartalomjegyzék kinyitása/becsukása" > <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">Tartalomjegyzék kinyitása/becsukása</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">Egyszerű gép</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="Ugrás egy más nyelvű szócikkre. Elérhető 67 nyelven" > <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-67" 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">67 nyelv</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Simple_machine" title="Simple machine – angol" lang="en" hreflang="en" data-title="Simple machine" data-language-autonym="English" data-language-local-name="angol" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Einfache_Maschine" title="Einfache Maschine – svájci német" lang="gsw" hreflang="gsw" data-title="Einfache Maschine" data-language-autonym="Alemannisch" data-language-local-name="svájci német" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Maquina_simpla" title="Maquina simpla – aragonéz" lang="an" hreflang="an" data-title="Maquina simpla" data-language-autonym="Aragonés" data-language-local-name="aragonéz" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A2%D9%84%D8%A9_%D8%A8%D8%B3%D9%8A%D8%B7%D8%A9" title="آلة بسيطة – arab" lang="ar" hreflang="ar" data-title="آلة بسيطة" data-language-autonym="العربية" data-language-local-name="arab" 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%B8%E0%A7%B0%E0%A6%B2_%E0%A6%AF%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A7%8D%E0%A7%B0" title="সৰল যন্ত্ৰ – asszámi" lang="as" hreflang="as" data-title="সৰল যন্ত্ৰ" data-language-autonym="অসমীয়া" data-language-local-name="asszámi" 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/M%C3%A1quina_cenciella" title="Máquina cenciella – asztúr" lang="ast" hreflang="ast" data-title="Máquina cenciella" data-language-autonym="Asturianu" data-language-local-name="asztúr" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9F%D1%80%D0%BE%D1%81%D1%82_%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D0%B8%D0%B7%D1%8A%D0%BC" title="Прост механизъм – bolgár" lang="bg" hreflang="bg" data-title="Прост механизъм" data-language-autonym="Български" data-language-local-name="bolgár" 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%B8%E0%A6%B0%E0%A6%B2_%E0%A6%AF%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A7%8D%E0%A6%B0" title="সরল যন্ত্র – bangla" lang="bn" hreflang="bn" data-title="সরল যন্ত্র" data-language-autonym="বাংলা" data-language-local-name="bangla" 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/Jednostavne_ma%C5%A1ine" title="Jednostavne mašine – bosnyák" lang="bs" hreflang="bs" data-title="Jednostavne mašine" data-language-autonym="Bosanski" data-language-local-name="bosnyák" 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/M%C3%A0quina_simple" title="Màquina simple – katalán" lang="ca" hreflang="ca" data-title="Màquina simple" data-language-autonym="Català" data-language-local-name="katalán" 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/%D9%85%DB%95%DA%A9%DB%8C%D9%86%DB%95%DB%8C_%D8%B3%D8%A7%DA%A9%D8%A7%D8%B1" title="مەکینەی ساکار – közép-ázsiai kurd" lang="ckb" hreflang="ckb" data-title="مەکینەی ساکار" data-language-autonym="کوردی" data-language-local-name="közép-ázsiai kurd" 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/Jednoduch%C3%BD_stroj" title="Jednoduchý stroj – cseh" lang="cs" hreflang="cs" data-title="Jednoduchý stroj" data-language-autonym="Čeština" data-language-local-name="cseh" 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%90%D0%BD%D1%81%D0%B0%D1%82_%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D0%B8%D0%B7%D0%BC" title="Ансат механизм – csuvas" lang="cv" hreflang="cv" data-title="Ансат механизм" data-language-autonym="Чӑвашла" data-language-local-name="csuvas" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Enkel_maskine" title="Enkel maskine – dán" lang="da" hreflang="da" data-title="Enkel maskine" data-language-autonym="Dansk" data-language-local-name="dán" 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/Einfache_Maschine" title="Einfache Maschine – német" lang="de" hreflang="de" data-title="Einfache Maschine" data-language-autonym="Deutsch" data-language-local-name="német" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Simpla_ma%C5%9Dino" title="Simpla maŝino – eszperantó" lang="eo" hreflang="eo" data-title="Simpla maŝino" data-language-autonym="Esperanto" data-language-local-name="eszperantó" 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/M%C3%A1quina_simple" title="Máquina simple – spanyol" lang="es" hreflang="es" data-title="Máquina simple" data-language-autonym="Español" data-language-local-name="spanyol" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Makina_sinple" title="Makina sinple – baszk" lang="eu" hreflang="eu" data-title="Makina sinple" data-language-autonym="Euskara" data-language-local-name="baszk" 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/%D9%85%D8%A7%D8%B4%DB%8C%D9%86%E2%80%8C%D9%87%D8%A7%DB%8C_%D8%B3%D8%A7%D8%AF%D9%87" title="ماشین‌های ساده – perzsa" lang="fa" hreflang="fa" data-title="ماشین‌های ساده" data-language-autonym="فارسی" data-language-local-name="perzsa" 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/Yksinkertainen_kone" title="Yksinkertainen kone – finn" lang="fi" hreflang="fi" data-title="Yksinkertainen kone" data-language-autonym="Suomi" data-language-local-name="finn" 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/Machine_simple" title="Machine simple – francia" lang="fr" hreflang="fr" data-title="Machine simple" data-language-autonym="Français" data-language-local-name="francia" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Machin_senp" title="Machin senp – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Machin senp" 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/M%C3%A1quina_simple" title="Máquina simple – gallego" lang="gl" hreflang="gl" data-title="Máquina simple" data-language-autonym="Galego" data-language-local-name="gallego" 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%9B%D7%95%D7%A0%D7%94_%D7%A4%D7%A9%D7%95%D7%98%D7%94" title="מכונה פשוטה – héber" lang="he" hreflang="he" data-title="מכונה פשוטה" data-language-autonym="עברית" data-language-local-name="héber" 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%B8%E0%A4%B0%E0%A4%B2_%E0%A4%AF%E0%A4%82%E0%A4%A4%E0%A5%8D%E0%A4%B0" title="सरल यंत्र – hindi" lang="hi" hreflang="hi" data-title="सरल यंत्र" 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/Jednostavni_stroj" title="Jednostavni stroj – horvát" lang="hr" hreflang="hr" data-title="Jednostavni stroj" data-language-autonym="Hrvatski" data-language-local-name="horvát" 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/Machin_senp" title="Machin senp – haiti kreol" lang="ht" hreflang="ht" data-title="Machin senp" data-language-autonym="Kreyòl ayisyen" data-language-local-name="haiti kreol" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8A%D5%A1%D6%80%D5%A6_%D5%B4%D5%A5%D5%AD%D5%A1%D5%B6%D5%AB%D5%A6%D5%B4" title="Պարզ մեխանիզմ – örmény" lang="hy" hreflang="hy" data-title="Պարզ մեխանիզմ" data-language-autonym="Հայերեն" data-language-local-name="örmény" 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/Pesawat_sederhana" title="Pesawat sederhana – indonéz" lang="id" hreflang="id" data-title="Pesawat sederhana" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonéz" 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/Simpla_mashino" title="Simpla mashino – idó" lang="io" hreflang="io" data-title="Simpla mashino" data-language-autonym="Ido" data-language-local-name="idó" 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/Grunnv%C3%A9l" title="Grunnvél – izlandi" lang="is" hreflang="is" data-title="Grunnvél" data-language-autonym="Íslenska" data-language-local-name="izlandi" 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/Macchina_semplice" title="Macchina semplice – olasz" lang="it" hreflang="it" data-title="Macchina semplice" data-language-autonym="Italiano" data-language-local-name="olasz" 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/%E5%8D%98%E7%B4%94%E6%A9%9F%E6%A2%B0" title="単純機械 – japán" lang="ja" hreflang="ja" data-title="単純機械" data-language-autonym="日本語" data-language-local-name="japán" 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%96%D0%B0%D0%B9_%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D0%B8%D0%B7%D0%BC" title="Жай механизм – kazah" lang="kk" hreflang="kk" data-title="Жай механизм" data-language-autonym="Қазақша" data-language-local-name="kazah" 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%8B%A8%EC%88%9C_%EA%B8%B0%EA%B3%84" title="단순 기계 – koreai" lang="ko" hreflang="ko" data-title="단순 기계" data-language-autonym="한국어" data-language-local-name="koreai" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Machina_simplex" title="Machina simplex – latin" lang="la" hreflang="la" data-title="Machina simplex" data-language-autonym="Latina" data-language-local-name="latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Vienk%C4%81r%C5%A1s_meh%C4%81nisms" title="Vienkāršs mehānisms – lett" lang="lv" hreflang="lv" data-title="Vienkāršs mehānisms" data-language-autonym="Latviešu" data-language-local-name="lett" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9F%D1%80%D0%BE%D1%81%D1%82%D0%B0_%D0%BC%D0%B0%D1%88%D0%B8%D0%BD%D0%B0" title="Проста машина – macedón" lang="mk" hreflang="mk" data-title="Проста машина" data-language-autonym="Македонски" data-language-local-name="macedón" 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%B2%E0%B4%98%E0%B5%81%E0%B4%AF%E0%B4%A8%E0%B5%8D%E0%B4%A4%E0%B5%8D%E0%B4%B0%E0%B4%82" title="ലഘുയന്ത്രം – malajálam" lang="ml" hreflang="ml" data-title="ലഘുയന്ത്രം" data-language-autonym="മലയാളം" data-language-local-name="malajálam" 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/Mesin_ringkas" title="Mesin ringkas – maláj" lang="ms" hreflang="ms" data-title="Mesin ringkas" data-language-autonym="Bahasa Melayu" data-language-local-name="maláj" 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/Eenvoudige_machine" title="Eenvoudige machine – holland" lang="nl" hreflang="nl" data-title="Eenvoudige machine" data-language-autonym="Nederlands" data-language-local-name="holland" 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/Enkel_maskin" title="Enkel maskin – norvég (nynorsk)" lang="nn" hreflang="nn" data-title="Enkel maskin" data-language-autonym="Norsk nynorsk" data-language-local-name="norvég (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/Enkel_maskin" title="Enkel maskin – norvég (bokmål)" lang="nb" hreflang="nb" data-title="Enkel maskin" data-language-autonym="Norsk bokmål" data-language-local-name="norvég (bokmål)" 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/Maquina_simpla" title="Maquina simpla – okszitán" lang="oc" hreflang="oc" data-title="Maquina simpla" data-language-autonym="Occitan" data-language-local-name="okszitán" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Maashinoota_sasalphoo" title="Maashinoota sasalphoo – oromo" lang="om" hreflang="om" data-title="Maashinoota sasalphoo" data-language-autonym="Oromoo" data-language-local-name="oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Maszyny_proste" title="Maszyny proste – lengyel" lang="pl" hreflang="pl" data-title="Maszyny proste" data-language-autonym="Polski" data-language-local-name="lengyel" 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/M%C3%A1quina_simples" title="Máquina simples – portugál" lang="pt" hreflang="pt" data-title="Máquina simples" data-language-autonym="Português" data-language-local-name="portugál" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Sikllalla_kuyuna" title="Sikllalla kuyuna – kecsua" lang="qu" hreflang="qu" data-title="Sikllalla kuyuna" data-language-autonym="Runa Simi" data-language-local-name="kecsua" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Ma%C8%99ini_simple" title="Mașini simple – román" lang="ro" hreflang="ro" data-title="Mașini simple" data-language-autonym="Română" data-language-local-name="román" 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%9F%D1%80%D0%BE%D1%81%D1%82%D0%B5%D0%B9%D1%88%D0%B8%D0%B9_%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D0%B8%D0%B7%D0%BC" title="Простейший механизм – orosz" lang="ru" hreflang="ru" data-title="Простейший механизм" data-language-autonym="Русский" data-language-local-name="orosz" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%A1%D1%83%D0%B4%D1%83%D1%80%D0%B3%D1%83_%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D0%B8%D0%B7%D0%BC" title="Судургу механизм – szaha" lang="sah" hreflang="sah" data-title="Судургу механизм" data-language-autonym="Саха тыла" data-language-local-name="szaha" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Jednostavni_stroj" title="Jednostavni stroj – szerbhorvát" lang="sh" hreflang="sh" data-title="Jednostavni stroj" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="szerbhorvát" 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/Simple_machine" title="Simple machine – Simple English" lang="en-simple" hreflang="en-simple" data-title="Simple machine" 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/Jednoduch%C3%BD_stroj" title="Jednoduchý stroj – szlovák" lang="sk" hreflang="sk" data-title="Jednoduchý stroj" data-language-autonym="Slovenčina" data-language-local-name="szlovák" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/Jednostavna_ma%C5%A1ina" title="Jednostavna mašina – szerb" lang="sr" hreflang="sr" data-title="Jednostavna mašina" data-language-autonym="Српски / srpski" data-language-local-name="szerb" 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/Enkel_maskin" title="Enkel maskin – svéd" lang="sv" hreflang="sv" data-title="Enkel maskin" data-language-autonym="Svenska" data-language-local-name="svéd" 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%8E%E0%AE%B3%E0%AE%BF%E0%AE%AF_%E0%AE%87%E0%AE%AF%E0%AE%A8%E0%AF%8D%E0%AE%A4%E0%AE%BF%E0%AE%B0%E0%AE%AE%E0%AF%8D" title="எளிய இயந்திரம் – tamil" lang="ta" hreflang="ta" data-title="எளிய இயந்திரம்" 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%B8%E0%B0%B0%E0%B0%B3_%E0%B0%AF%E0%B0%82%E0%B0%A4%E0%B1%8D%E0%B0%B0%E0%B0%82" title="సరళ యంత్రం – telugu" lang="te" hreflang="te" data-title="సరళ యంత్రం" data-language-autonym="తెలుగు" data-language-local-name="telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%80%E0%B8%84%E0%B8%A3%E0%B8%B7%E0%B9%88%E0%B8%AD%E0%B8%87%E0%B8%81%E0%B8%A5%E0%B8%AD%E0%B8%A2%E0%B9%88%E0%B8%B2%E0%B8%87%E0%B8%87%E0%B9%88%E0%B8%B2%E0%B8%A2" title="เครื่องกลอย่างง่าย – thai" lang="th" hreflang="th" data-title="เครื่องกลอย่างง่าย" data-language-autonym="ไทย" data-language-local-name="thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Makinang_payak" title="Makinang payak – tagalog" lang="tl" hreflang="tl" data-title="Makinang payak" 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/Basit_makine" title="Basit makine – török" lang="tr" hreflang="tr" data-title="Basit makine" data-language-autonym="Türkçe" data-language-local-name="török" 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%9F%D1%80%D0%BE%D1%81%D1%82%D0%B8%D0%B9_%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D1%96%D0%B7%D0%BC" title="Простий механізм – ukrán" lang="uk" hreflang="uk" data-title="Простий механізм" data-language-autonym="Українська" data-language-local-name="ukrán" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/M%C3%A1y_c%C6%A1_%C4%91%C6%A1n_gi%E1%BA%A3n" title="Máy cơ đơn giản – vietnámi" lang="vi" hreflang="vi" data-title="Máy cơ đơn giản" data-language-autonym="Tiếng Việt" data-language-local-name="vietnámi" 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/%E7%AE%80%E5%8D%95%E6%9C%BA%E6%A2%B0" title="简单机械 – wu kínai" lang="wuu" hreflang="wuu" data-title="简单机械" data-language-autonym="吴语" data-language-local-name="wu kínai" 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/%E7%AE%80%E5%8D%95%E6%9C%BA%E6%A2%B0" title="简单机械 – kínai" lang="zh" hreflang="zh" data-title="简单机械" data-language-autonym="中文" data-language-local-name="kínai" 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/%E7%B0%A1%E5%96%AE%E6%A9%9F%E6%A2%B0" title="簡單機械 – kantoni" lang="yue" hreflang="yue" data-title="簡單機械" data-language-autonym="粵語" data-language-local-name="kantoni" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://zu.wikipedia.org/wiki/INguxa_elula" title="INguxa elula – zulu" lang="zu" hreflang="zu" data-title="INguxa elula" data-language-autonym="IsiZulu" data-language-local-name="zulu" class="interlanguage-link-target"><span>IsiZulu</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/Q186713#sitelinks-wikipedia" title="Nyelvközi hivatkozások szerkesztése" class="wbc-editpage">Hivatkozások szerkesztése</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="Névterek"> <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/Egyszer%C5%B1_g%C3%A9p" title="A lap megtekintése [c]" accesskey="c"><span>Szócikk</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Vita:Egyszer%C5%B1_g%C3%A9p" rel="discussion" title="Az oldal tartalmának megvitatása [t]" accesskey="t"><span>Vitalap</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" 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class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Egyszer%C5%B1_g%C3%A9p&action=edit" title="Az oldal forráskódjának szerkesztése [e]" accesskey="e"><span>Szerkesztés</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Egyszer%C5%B1_g%C3%A9p&action=history" title="A lap korábbi változatai [h]" accesskey="h"><span>Laptörténet</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Oldal eszközök"> <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="Eszközök" > <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 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data-event-name="pinnable-header.vector-page-tools.unpin">elrejtés</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="További lehetőségek" > <div class="vector-menu-heading"> Műveletek </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/Egyszer%C5%B1_g%C3%A9p"><span>Olvasás</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Egyszer%C5%B1_g%C3%A9p&action=edit" title="Az oldal forráskódjának szerkesztése [e]" accesskey="e"><span>Szerkesztés</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Egyszer%C5%B1_g%C3%A9p&action=history"><span>Laptörténet</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Általános </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Speci%C3%A1lis:Mi_hivatkozik_erre/Egyszer%C5%B1_g%C3%A9p" title="Az erre a lapra hivatkozó más lapok listája [j]" accesskey="j"><span>Mi hivatkozik erre?</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Speci%C3%A1lis:Kapcsol%C3%B3d%C3%B3_v%C3%A1ltoztat%C3%A1sok/Egyszer%C5%B1_g%C3%A9p" rel="nofollow" title="Az erről a lapról hivatkozott lapok utolsó változtatásai [k]" accesskey="k"><span>Kapcsolódó változtatások</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Speci%C3%A1lis:Speci%C3%A1lis_lapok" title="Az összes speciális lap listája [q]" accesskey="q"><span>Speciális lapok</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Egyszer%C5%B1_g%C3%A9p&oldid=27166412" title="Állandó hivatkozás ezen lap ezen változatához"><span>Hivatkozás erre a változatra</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Egyszer%C5%B1_g%C3%A9p&action=info" title="További információk erről a lapról"><span>Lapinformációk</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Speci%C3%A1lis:Hivatkoz%C3%A1s&page=Egyszer%C5%B1_g%C3%A9p&id=27166412&wpFormIdentifier=titleform" title="Információk a lap idézésével kapcsolatban"><span>Hogyan hivatkozz erre a lapra?</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Speci%C3%A1lis:UrlShortener&url=https%3A%2F%2Fhu.wikipedia.org%2Fwiki%2FEgyszer%25C5%25B1_g%25C3%25A9p"><span>Rövidített URL készítése</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Speci%C3%A1lis:QrCode&url=https%3A%2F%2Fhu.wikipedia.org%2Fwiki%2FEgyszer%25C5%25B1_g%25C3%25A9p"><span>QR-kód letöltése</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"> Nyomtatás/exportálás </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=Speci%C3%A1lis:K%C3%B6nyv&bookcmd=book_creator&referer=Egyszer%C5%B1+g%C3%A9p"><span>Könyv készítése</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Speci%C3%A1lis:DownloadAsPdf&page=Egyszer%C5%B1_g%C3%A9p&action=show-download-screen"><span>Letöltés PDF-ként</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Egyszer%C5%B1_g%C3%A9p&printable=yes" title="A lap nyomtatható változata [p]" accesskey="p"><span>Nyomtatható változat</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"> Társprojektek </div> <div 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id="mw-indicator-indicator-fr-review-status" class="mw-indicator"><indicator name="fr-review-status" class="mw-fr-review-status-indicator" id="mw-fr-revision-toggle"><span class="cdx-fr-css-icon-review--status--stable"></span><b>Ellenőrzött</b></indicator></div> </div> <div id="siteSub" class="noprint">A Wikipédiából, a szabad enciklopédiából</div> </div> <div id="contentSub"><div id="mw-content-subtitle"><div id="mw-fr-revision-messages"><div id="mw-fr-revision-details" class="mw-fr-revision-details-dialog" style="display:none;"><div tabindex="0"></div><div class="cdx-dialog cdx-dialog--horizontal-actions"><header class="cdx-dialog__header cdx-dialog__header--default"><div class="cdx-dialog__header__title-group"><h2 class="cdx-dialog__header__title">Változat állapota</h2><p class="cdx-dialog__header__subtitle">Ez a lap egy ellenőrzött változata</p></div><button class="cdx-button cdx-button--action-default cdx-button--weight-quiet
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							cdx-fr-css-icon--close"></span></button></header><div class="cdx-dialog__body">Ez a <a href="/wiki/Wikip%C3%A9dia:Jel%C3%B6lt_lapv%C3%A1ltozatok" title="Wikipédia:Jelölt lapváltozatok">közzétett változat</a>, <a class="external text" href="https://hu.wikipedia.org/w/index.php?title=Speci%C3%A1lis:Rendszernapl%C3%B3k&type=review&page=Egyszer%C5%B1_g%C3%A9p">ellenőrizve</a>: <i>2024. május 28.</i><p><table id="mw-fr-revisionratings-box" class="flaggedrevs-color-1" style="margin: auto;" cellpadding="0"><tr><td class="fr-text" style="vertical-align: middle;">Pontosság</td><td class="fr-value40" style="vertical-align: middle;">ellenőrzött</td></tr></table></p></div></div><div tabindex="0"></div></div></div></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="hu" dir="ltr"><p><b>Egyszerű gépnek</b> vagy <b>erőátviteli eszközöknek</b> nevezzük azokat a berendezéseket, melyek alkalmasak egy <a href="/wiki/Er%C5%91" title="Erő">erő</a> nagyságát és/vagy az irányát megváltoztatni, átalakítani kényszermozgások révén. Az egyszerű gépek fő jellemzője az <a href="/w/index.php?title=%C3%81tt%C3%A9tel&action=edit&redlink=1" class="new" title="Áttétel (a lap nem létezik)">áttétel</a> (vagy módosítás), amely a teher <a href="/wiki/S%C3%BAly" title="Súly">súlya</a> és az azt egyensúlyban tartani képes erő viszonyát fejezi ki. Az egyszerű gépek alkalmasak arra, hogy egy adott terhet lényegesen kisebb erővel mozgassunk meg, de nagyobb út megtételével. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Alapfogalmak">Alapfogalmak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Egyszer%C5%B1_g%C3%A9p&action=edit&section=1" title="Szakasz szerkesztése: Alapfogalmak"><span>szerkesztés</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><b>F</b>: a kiegyensúlyozó vagy mozgató erő</li> <li><b>G</b>: a súlyerő (a kiegyensúlyozni vagy mozgatni kívánt teher súlya)</li> <li><b>m</b>: az áttétel vagy módosítás</li> <li><b>r<sub>F</sub></b>: az erőkar, az F erő hatásvonalának a forgástengelytől mért távolsága</li> <li><b>r<sub>G</sub></b>: a teherkar, a G erő hatásvonalának a forgástengelytől mért távolsága</li></ul> <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={G \over F}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>G</mi> <mi>F</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m={G \over F}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/859050f7259edbf0ef30692abddb2720bc80d7d9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:7.802ex; height:5.343ex;" alt="{\displaystyle m={G \over F}}"></span> </p> <div class="mw-heading mw-heading2"><h2 id="Emelő"><span id="Emel.C5.91"></span>Emelő</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Egyszer%C5%B1_g%C3%A9p&action=edit&section=2" title="Szakasz szerkesztése: Emelő"><span>szerkesztés</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><b><a href="/wiki/Emel%C5%91" title="Emelő">Emelőnek</a></b> nevezzük azokat az eszközöket, ahol a teher egy olyan merev rúdra van erősítve, ami egy pontján elforgathatóan rögzítve van. Ilyenkor a forgástengelytől minél távolabb mozgatjuk a rudat, annál kisebb erő kifejtése szükséges. Ha a teher és a mozgatási pont a tengely egyazon oldalán van, akkor egykarú emelőről beszélünk (pl. talicska). Ha a tengely a teher és a mozgatópont között van, akkor kétkarú emelővel van dolgunk (pl. feszítővas) – ilyenkor a teher a mozgatással ellentétes irányba indul meg. </p><p>Az egyensúlyi feltétel szerint: </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 G\cdot r_{G}=F\cdot r_{F}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>G</mi> <mo>⋅</mo> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>G</mi> </mrow> </msub> <mo>=</mo> <mi>F</mi> <mo>⋅</mo> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>F</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle G\cdot r_{G}=F\cdot r_{F}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/725a15588332b7c62e0475d4dc28cf7f5341ea86" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:15.109ex; height:2.509ex;" alt="{\displaystyle G\cdot r_{G}=F\cdot r_{F}}"></span> </p><p>ezért a teherre </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=G\cdot {r_{G} \over r_{F}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <mi>G</mi> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>G</mi> </mrow> </msub> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>F</mi> </mrow> </msub> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F=G\cdot {r_{G} \over r_{F}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eb229abce3a19368b458c3fb061c25a23052c516" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:11.754ex; height:5.009ex;" alt="{\displaystyle F=G\cdot {r_{G} \over r_{F}}}"></span> </p><p>Alkalmazása: <a href="/wiki/M%C3%A9rleg_(eszk%C3%B6z)" title="Mérleg (eszköz)">mérleg</a>, sajtológép, talicska, sörnyitó, feszítővas stb. </p> <div class="mw-heading mw-heading2"><h2 id="Lejtő"><span id="Lejt.C5.91"></span>Lejtő</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Egyszer%C5%B1_g%C3%A9p&action=edit&section=3" title="Szakasz szerkesztése: Lejtő"><span>szerkesztés</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><b><a href="/wiki/Lejt%C5%91" title="Lejtő">Lejtőnek</a></b> nevezzük a vízszintessel egy megadott szöget bezáró síkot. Ez az eszköz alkalmas egy adott test ferde csúsztatására, aránylag kicsi súrlódás mellett. Mivel a lejtőre helyezett test súlyereje (G) és az azt egyensúlyban tartó F erő is felbontható a lejtő irányába eső és egy arra merőleges erőre, ezáltal lehetséges a teher súlyára merőleges, annál akár jóval kisebb erővel is emelést végezni. </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=G\cdot \sin \alpha }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <mi>G</mi> <mo>⋅</mo> <mi>sin</mi> <mo>⁡</mo> <mi>α</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F=G\cdot \sin \alpha }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e846de9be35175968dda623527675fa6960ab2ac" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:13.075ex; height:2.176ex;" alt="{\displaystyle F=G\cdot \sin \alpha }"></span>, ahol <b><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>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></b> a vízszintes és a lejtő síkja által bezárt szög. </p><p>Alkalmazása: pl. teherautó rakfelületéhez támasztott lejtőn teher csúsztatása vagy gördítése felfelé. </p> <div class="mw-heading mw-heading2"><h2 id="Ék"><span id=".C3.89k"></span>Ék</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Egyszer%C5%B1_g%C3%A9p&action=edit&section=4" title="Szakasz szerkesztése: Ék"><span>szerkesztés</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Az <b><a href="/wiki/%C3%89k" title="Ék">ék</a></b> segítségével – amely tulajdonképpen egy lejtő – tudunk különböző anyagokat szétválasztani, emelni vagy kitámasztani. </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=F_{ny}{2h \over l}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mi>y</mi> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>h</mi> </mrow> <mi>l</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F=F_{ny}{2h \over l}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8d8ee74e3bf3fc2cb06d320d9aa52a2a4f4ff991" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:11.707ex; height:5.509ex;" alt="{\displaystyle F=F_{ny}{2h \over l}}"></span>, ahol <b>F<sub>ny</sub></b> a távolító erő, a <b>h</b> az ék szélessége és <b>l</b> az ék hossza. </p><p>Alkalmazása: fejsze, kés, véső stb. </p> <div class="mw-heading mw-heading2"><h2 id="Csavar">Csavar</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Egyszer%C5%B1_g%C3%A9p&action=edit&section=5" title="Szakasz szerkesztése: Csavar"><span>szerkesztés</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Csavar" title="Csavar"><b>Csavarnak</b></a> nevezzük azt az eszközt, amely henger (orsó) palástján elhelyezkedő – egyazon menetemelkedéssel futó – ferde barázdák, annak mintázatához illeszkedő lyukba (csavartokba vagy orsóba) helyezve, elforgatással a henger hossztengelyével párhuzamos elmozdulás keletkezik. Ekkor a csavar kis erővel történő forgatásával is nagy erőt tudunk kifejteni az orsó elmozdulásának irányában. A csavarokat bontható kötések készítésére használják, annak végállásban jelentkező szorulását kihasználva. </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=G{h \over 2r\pi }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <mi>G</mi> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>h</mi> <mrow> <mn>2</mn> <mi>r</mi> <mi>π</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F=G{h \over 2r\pi }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6a89eaafa77f5c06b2690618a25b0fb839122944" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:11.045ex; height:5.343ex;" alt="{\displaystyle F=G{h \over 2r\pi }}"></span>, ahol <b>h</b> a menet egy körülfordítás alatti hosszirányú emelkedése, <b>r</b> a csavarorsó sugara. </p><p>Alkalmazása: </p> <ul><li>nagy nyomás kifejtésére: prések, oldható kötések, csavarok</li> <li>kis elmozdulások előidézésére: távcsövek, mikroszkópok beállítócsavarjai, nagy pontosságú mérőműszerek, mikrométerek,...</li></ul> <div class="mw-heading mw-heading2"><h2 id="Csiga">Csiga</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Egyszer%C5%B1_g%C3%A9p&action=edit&section=6" title="Szakasz szerkesztése: Csiga"><span>szerkesztés</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A <a href="/wiki/Csiga_(g%C3%A9p)" title="Csiga (gép)"><b>csiga</b></a> egy tengely körül forgó tárcsa, melynek kerületén hornyot képeznek ki kötél vagy kábel számára. Általában több csigát használnak egyszerre, melyekkel jelentős áttételt (módosítást) lehet elérni. </p><p>Fajtái: álló-, és mozgócsigák. </p><p>Az <i>állócsiga</i> az erő irányának megváltoztatására szolgál, </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\cdot r=G\cdot r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>⋅</mo> <mi>r</mi> <mo>=</mo> <mi>G</mi> <mo>⋅</mo> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F\cdot r=G\cdot r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6145a8922aff09a2826d4fdba6e1b4ff810b4a37" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:12.121ex; height:2.176ex;" alt="{\displaystyle F\cdot r=G\cdot r}"></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=G}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <mi>G</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F=G}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/84a3d13f604d4b4dee46ff4c70620257423eab65" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.666ex; height:2.176ex;" alt="{\displaystyle F=G}"></span> </p><p>míg <i>mozgócsiga</i> alkalmazásával az erő nagyságát csökkenthetjük (felezi a kifejtendő erőt). </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\cdot 2\cdot r=G\cdot r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>⋅</mo> <mn>2</mn> <mo>⋅</mo> <mi>r</mi> <mo>=</mo> <mi>G</mi> <mo>⋅</mo> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F\cdot 2\cdot r=G\cdot r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/28410582e13165390030c1074d2cb172f29ff55a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:14.963ex; height:2.176ex;" alt="{\displaystyle F\cdot 2\cdot r=G\cdot r}"></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={G \over 2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>G</mi> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F={G \over 2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/13250e04322de25cbbe6c13d37faae828262e934" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:7.502ex; height:5.343ex;" alt="{\displaystyle F={G \over 2}}"></span> </p><p>A két fajta csiga összeépítésével létrehozott szerkezeteket (differenciál) <i>csigasornak</i> nevezzük. </p><p>n darab álló- és n darab mozgócsigából álló csigasornál <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={G \over 2\cdot n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>G</mi> <mrow> <mn>2</mn> <mo>⋅</mo> <mi>n</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F={G \over 2\cdot n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7aaa868ff356e2976c4247c29e595bae9a49f6f5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:9.912ex; height:5.343ex;" alt="{\displaystyle F={G \over 2\cdot n}}"></span> </p><p>A csak mozgócsigák összefűzésével kialakított csigasort, ahol minden csiga felezi a terhet, hatvány, vagy <i>archimedesi csigasor</i>nak nevezzük és <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={G \over {2^{n}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>G</mi> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F={G \over {2^{n}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0938823e81e0b2e21ba527369c66b59381a8d56a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:8.056ex; height:5.509ex;" alt="{\displaystyle F={G \over {2^{n}}}}"></span> </p><p>A csigasorokat nagyon nagy terhek emelésére használják. </p><p>Alkalmazása: villamosvasúti <a href="/wiki/Fels%C5%91vezet%C3%A9k" title="Felsővezeték">felsővezetékek</a> kifeszítése, gyárakban nagy tömegű gépeinek, munkadarabjainak emelése, mozgatása, építési és hajódaruk. </p> <div class="mw-heading mw-heading2"><h2 id="Hengerkerék"><span id="Hengerker.C3.A9k"></span>Hengerkerék</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Egyszer%C5%B1_g%C3%A9p&action=edit&section=7" title="Szakasz szerkesztése: Hengerkerék"><span>szerkesztés</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A <b><a href="/wiki/Hengerker%C3%A9k" title="Hengerkerék">hengerkerék</a></b> egy közös tengelyre szerelt r sugarú hengerből és egy R sugarú kerékből áll. </p><p>Az egyensúly feltétele: </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\cdot R=G\cdot r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>⋅</mo> <mi>R</mi> <mo>=</mo> <mi>G</mi> <mo>⋅</mo> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F\cdot R=G\cdot r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a1812cc6580c0ed5b0173a472b7cb95694b777be" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:12.837ex; height:2.176ex;" alt="{\displaystyle F\cdot R=G\cdot r}"></span> </p><p>ebből </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 {G \over F}={R \over r}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>G</mi> <mi>F</mi> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>R</mi> <mi>r</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {G \over F}={R \over r}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f9caaa0ab65355f3d507e56fbd593c3f3ef19a81" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:8.361ex; height:5.343ex;" alt="{\displaystyle {G \over F}={R \over r}}"></span> </p><p>Alkalmazása: kerekes kút, hajóhorgony emelése, óra fogaskerekes szerkezete, ... </p> <div class="mw-heading mw-heading2"><h2 id="További_információk"><span id="Tov.C3.A1bbi_inform.C3.A1ci.C3.B3k"></span>További információk</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Egyszer%C5%B1_g%C3%A9p&action=edit&section=8" title="Szakasz szerkesztése: További információk"><span>szerkesztés</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="tarsprojekt-alap noviewer"> <style data-mw-deduplicate="TemplateStyles:r27252708">.mw-parser-output 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