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[o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>로그인</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> 로그아웃한 편집자를 위한 문서 <a href="/wiki/%EB%8F%84%EC%9B%80%EB%A7%90:%EC%86%8C%EA%B0%9C" aria-label="편집에 관해 더 알아보기"><span>더 알아보기</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%ED%8A%B9%EC%88%98:%EB%82%B4%EA%B8%B0%EC%97%AC" title="이 IP 주소의 편집 목록 [y]" accesskey="y"><span>기여</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%ED%8A%B9%EC%88%98:%EB%82%B4%EC%82%AC%EC%9A%A9%EC%9E%90%ED%86%A0%EB%A1%A0" title="현재 사용하는 IP 주소에 대한 토론 문서 [n]" accesskey="n"><span>토론</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="사이트"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="목차" 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">목차</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">사이드바로 이동</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">숨기기</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">처음 위치</div> </a> </li> <li id="toc-정의" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#정의"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>정의</span> </div> </a> <ul id="toc-정의-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-다각형,_다면체의_무게_중심" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#다각형,_다면체의_무게_중심"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>다각형, 다면체의 무게 중심</span> </div> </a> <button aria-controls="toc-다각형,_다면체의_무게_중심-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>다각형, 다면체의 무게 중심 하위섹션 토글하기</span> </button> <ul id="toc-다각형,_다면체의_무게_중심-sublist" class="vector-toc-list"> <li id="toc-다각형,_다면체에서의_(일반화된)중심" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#다각형,_다면체에서의_(일반화된)중심"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>다각형, 다면체에서의 (일반화된)중심</span> </div> </a> <ul id="toc-다각형,_다면체에서의_(일반화된)중심-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-도형의_무게_중심" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#도형의_무게_중심"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>도형의 무게 중심</span> </div> </a> <ul id="toc-도형의_무게_중심-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-임의의_2차원_물리_형태의_중심_질량" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#임의의_2차원_물리_형태의_중심_질량"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>임의의 2차원 물리 형태의 중심 질량</span> </div> </a> <ul id="toc-임의의_2차원_물리_형태의_중심_질량-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-애니메이션" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#애니메이션"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>애니메이션</span> </div> </a> <ul id="toc-애니메이션-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-같이_보기" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#같이_보기"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>같이 보기</span> </div> </a> <ul id="toc-같이_보기-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-외부_링크" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#외부_링크"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>외부 링크</span> </div> </a> <ul id="toc-외부_링크-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="목차" 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="목차 토글" > <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">목차 토글</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">질량 중심</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="다른 언어로 문서를 방문합니다. 60개 언어로 읽을 수 있습니다" > <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-60" 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">60개 언어</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Massamiddelpunt" title="Massamiddelpunt – 아프리칸스어" lang="af" hreflang="af" data-title="Massamiddelpunt" data-language-autonym="Afrikaans" data-language-local-name="아프리칸스어" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%B1%D9%83%D8%B2_%D8%A7%D9%84%D9%83%D8%AA%D9%84%D8%A9" title="مركز الكتلة – 아랍어" lang="ar" hreflang="ar" data-title="مركز الكتلة" data-language-autonym="العربية" data-language-local-name="아랍어" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A6%D1%8D%D0%BD%D1%82%D1%80_%D0%BC%D0%B0%D1%81" title="Цэнтр мас – 벨라루스어" lang="be" hreflang="be" data-title="Цэнтр мас" data-language-autonym="Беларуская" data-language-local-name="벨라루스어" 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%A6%D0%B5%D0%BD%D1%82%D1%8A%D1%80_%D0%BD%D0%B0_%D0%BC%D0%B0%D1%81%D0%B8%D1%82%D0%B5" title="Център на масите – 불가리아어" lang="bg" hreflang="bg" data-title="Център на масите" data-language-autonym="Български" data-language-local-name="불가리아어" 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%AC%E0%A6%B8%E0%A7%8D%E0%A6%A4%E0%A7%81%E0%A6%B0_%E0%A6%AD%E0%A6%B0%E0%A6%95%E0%A7%87%E0%A6%A8%E0%A7%8D%E0%A6%A6%E0%A7%8D%E0%A6%B0" title="বস্তুর ভরকেন্দ্র – 벵골어" lang="bn" hreflang="bn" data-title="বস্তুর ভরকেন্দ্র" data-language-autonym="বাংলা" data-language-local-name="벵골어" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Centre_de_massa" title="Centre de massa – 카탈로니아어" lang="ca" hreflang="ca" data-title="Centre de massa" data-language-autonym="Català" data-language-local-name="카탈로니아어" 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%86%D8%A7%D9%88%DB%95%D9%86%D8%AF%DB%8C_%D8%A8%D8%A7%D8%B1%D8%B3%D8%AA%DB%95" title="ناوەندی بارستە – 소라니 쿠르드어" lang="ckb" hreflang="ckb" data-title="ناوەندی بارستە" data-language-autonym="کوردی" data-language-local-name="소라니 쿠르드어" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs badge-Q70894304 mw-list-item" title=""><a href="https://cs.wikipedia.org/wiki/Hmotn%C3%BD_st%C5%99ed" title="Hmotný střed – 체코어" lang="cs" hreflang="cs" data-title="Hmotný střed" data-language-autonym="Čeština" data-language-local-name="체코어" 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%9C%D0%B0%D1%81%D1%81%C4%83%D1%81%D0%B5%D0%BD_%D1%86%D0%B5%D0%BD%D1%82%D1%80%C4%95" title="Массăсен центрĕ – 추바시어" lang="cv" hreflang="cv" data-title="Массăсен центрĕ" data-language-autonym="Чӑвашла" data-language-local-name="추바시어" 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/Massemidtpunkt" title="Massemidtpunkt – 덴마크어" lang="da" hreflang="da" data-title="Massemidtpunkt" data-language-autonym="Dansk" data-language-local-name="덴마크어" 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/Massenmittelpunkt" title="Massenmittelpunkt – 독일어" lang="de" hreflang="de" data-title="Massenmittelpunkt" data-language-autonym="Deutsch" data-language-local-name="독일어" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Center_of_mass" title="Center of mass – 영어" lang="en" hreflang="en" data-title="Center of mass" data-language-autonym="English" data-language-local-name="영어" 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/Masocentro" title="Masocentro – 에스페란토어" lang="eo" hreflang="eo" data-title="Masocentro" data-language-autonym="Esperanto" data-language-local-name="에스페란토어" 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/Centro_de_masas" title="Centro de masas – 스페인어" lang="es" hreflang="es" data-title="Centro de masas" data-language-autonym="Español" data-language-local-name="스페인어" 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/Massikese" title="Massikese – 에스토니아어" lang="et" hreflang="et" data-title="Massikese" data-language-autonym="Eesti" data-language-local-name="에스토니아어" 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/Masa-zentro" title="Masa-zentro – 바스크어" lang="eu" hreflang="eu" data-title="Masa-zentro" data-language-autonym="Euskara" data-language-local-name="바스크어" 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%B1%DA%A9%D8%B2_%D8%AC%D8%B1%D9%85" title="مرکز جرم – 페르시아어" lang="fa" hreflang="fa" data-title="مرکز جرم" data-language-autonym="فارسی" data-language-local-name="페르시아어" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Centre_d%27inertie" title="Centre d'inertie – 프랑스어" lang="fr" hreflang="fr" data-title="Centre d'inertie" data-language-autonym="Français" data-language-local-name="프랑스어" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Swaarponkt" title="Swaarponkt – 북부 프리지아어" lang="frr" hreflang="frr" data-title="Swaarponkt" data-language-autonym="Nordfriisk" data-language-local-name="북부 프리지아어" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Me%C3%A1chanl%C3%A1r" title="Meáchanlár – 아일랜드어" lang="ga" hreflang="ga" data-title="Meáchanlár" data-language-autonym="Gaeilge" data-language-local-name="아일랜드어" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Centro_de_masas" title="Centro de masas – 갈리시아어" lang="gl" hreflang="gl" data-title="Centro de masas" data-language-autonym="Galego" data-language-local-name="갈리시아어" 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%A8%D7%9B%D7%96_%D7%9E%D7%A1%D7%94" title="מרכז מסה – 히브리어" lang="he" hreflang="he" data-title="מרכז מסה" data-language-autonym="עברית" data-language-local-name="히브리어" 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%82%E0%A4%B9%E0%A4%A4%E0%A4%BF-%E0%A4%95%E0%A5%87%E0%A4%A8%E0%A5%8D%E0%A4%A6%E0%A5%8D%E0%A4%B0" title="संहति-केन्द्र – 힌디어" lang="hi" hreflang="hi" data-title="संहति-केन्द्र" data-language-autonym="हिन्दी" data-language-local-name="힌디어" 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/Centar_masa" title="Centar masa – 크로아티아어" lang="hr" hreflang="hr" data-title="Centar masa" data-language-autonym="Hrvatski" data-language-local-name="크로아티아어" 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/Sant_mas" title="Sant mas – 아이티어" lang="ht" hreflang="ht" data-title="Sant mas" data-language-autonym="Kreyòl ayisyen" data-language-local-name="아이티어" 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/T%C3%B6megk%C3%B6z%C3%A9ppont" title="Tömegközéppont – 헝가리어" lang="hu" hreflang="hu" data-title="Tömegközéppont" data-language-autonym="Magyar" data-language-local-name="헝가리어" 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/%D4%B6%D5%A1%D5%B6%D5%A3%D5%BE%D5%A1%D5%AE%D5%B6%D5%A5%D6%80%D5%AB_%D5%AF%D5%A5%D5%B6%D5%BF%D6%80%D5%B8%D5%B6" title="Զանգվածների կենտրոն – 아르메니아어" lang="hy" hreflang="hy" data-title="Զանգվածների կենտրոն" data-language-autonym="Հայերեն" data-language-local-name="아르메니아어" 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/Pusat_massa" title="Pusat massa – 인도네시아어" lang="id" hreflang="id" data-title="Pusat massa" data-language-autonym="Bahasa Indonesia" data-language-local-name="인도네시아어" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Massami%C3%B0ja" title="Massamiðja – 아이슬란드어" lang="is" hreflang="is" data-title="Massamiðja" data-language-autonym="Íslenska" data-language-local-name="아이슬란드어" 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/Centro_di_massa" title="Centro di massa – 이탈리아어" lang="it" hreflang="it" data-title="Centro di massa" data-language-autonym="Italiano" data-language-local-name="이탈리아어" 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/%E9%87%8D%E5%BF%83" title="重心 – 일본어" lang="ja" hreflang="ja" data-title="重心" data-language-autonym="日本語" data-language-local-name="일본어" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-krc mw-list-item"><a href="https://krc.wikipedia.org/wiki/%D0%A1%D0%B0%D1%83%D0%BB%D0%B0%D0%B9_%D0%B0%D1%83%D1%83%D1%80%D0%BB%D1%83%D0%BA%D1%8A%D0%BD%D1%83_%D0%BE%D1%80%D1%82%D0%B0%D1%81%D1%8B" title="Саулай ауурлукъну ортасы – 카라챠이-발카르어" lang="krc" hreflang="krc" data-title="Саулай ауурлукъну ортасы" data-language-autonym="Къарачай-малкъар" data-language-local-name="카라챠이-발카르어" class="interlanguage-link-target"><span>Къарачай-малкъар</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Sentro_de_masa" title="Sentro de masa – 링구아 프랑카 노바" lang="lfn" hreflang="lfn" data-title="Sentro de masa" data-language-autonym="Lingua Franca Nova" data-language-local-name="링구아 프랑카 노바" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Mas%C4%97s_centras" title="Masės centras – 리투아니아어" lang="lt" hreflang="lt" data-title="Masės centras" data-language-autonym="Lietuvių" data-language-local-name="리투아니아어" 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/Masas_centrs" title="Masas centrs – 라트비아어" lang="lv" hreflang="lv" data-title="Masas centrs" data-language-autonym="Latviešu" data-language-local-name="라트비아어" 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%A2%D0%B5%D0%B6%D0%B8%D1%88%D1%82%D0%B5" title="Тежиште – 마케도니아어" lang="mk" hreflang="mk" data-title="Тежиште" data-language-autonym="Македонски" data-language-local-name="마케도니아어" 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%AA%E0%B4%BF%E0%B4%A3%E0%B5%8D%E0%B4%A1%E0%B4%95%E0%B5%87%E0%B4%A8%E0%B5%8D%E0%B4%A6%E0%B5%8D%E0%B4%B0%E0%B4%82" title="പിണ്ഡകേന്ദ്രം – 말라얄람어" lang="ml" hreflang="ml" data-title="പിണ്ഡകേന്ദ്രം" data-language-autonym="മലയാളം" data-language-local-name="말라얄람어" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B5%E0%A4%B8%E0%A5%8D%E0%A4%A4%E0%A5%81%E0%A4%AE%E0%A4%BE%E0%A4%A8_%E0%A4%95%E0%A5%87%E0%A4%82%E0%A4%A6%E0%A5%8D%E0%A4%B0" title="वस्तुमान केंद्र – 마라티어" lang="mr" hreflang="mr" data-title="वस्तुमान केंद्र" data-language-autonym="मराठी" data-language-local-name="마라티어" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Massamiddelpunt" title="Massamiddelpunt – 네덜란드어" lang="nl" hreflang="nl" data-title="Massamiddelpunt" data-language-autonym="Nederlands" data-language-local-name="네덜란드어" 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/Massesenter" title="Massesenter – 노르웨이어(니노르스크)" lang="nn" hreflang="nn" data-title="Massesenter" data-language-autonym="Norsk nynorsk" data-language-local-name="노르웨이어(니노르스크)" 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/Massesentrum" title="Massesentrum – 노르웨이어(보크말)" lang="nb" hreflang="nb" data-title="Massesentrum" data-language-autonym="Norsk bokmål" data-language-local-name="노르웨이어(보크말)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/%C5%9Arodek_masy" title="Środek masy – 폴란드어" lang="pl" hreflang="pl" data-title="Środek masy" data-language-autonym="Polski" data-language-local-name="폴란드어" 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/Centro_de_massa" title="Centro de massa – 포르투갈어" lang="pt" hreflang="pt" data-title="Centro de massa" data-language-autonym="Português" data-language-local-name="포르투갈어" 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/Centru_de_mas%C4%83" title="Centru de masă – 루마니아어" lang="ro" hreflang="ro" data-title="Centru de masă" data-language-autonym="Română" data-language-local-name="루마니아어" 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%A6%D0%B5%D0%BD%D1%82%D1%80_%D0%BC%D0%B0%D1%81%D1%81" title="Центр масс – 러시아어" lang="ru" hreflang="ru" data-title="Центр масс" data-language-autonym="Русский" data-language-local-name="러시아어" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Centar_masa" title="Centar masa – 세르비아-크로아티아어" lang="sh" hreflang="sh" data-title="Centar masa" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="세르비아-크로아티아어" 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/Center_of_mass" title="Center of mass – Simple English" lang="en-simple" hreflang="en-simple" data-title="Center of mass" 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-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Masno_sredi%C5%A1%C4%8De" title="Masno središče – 슬로베니아어" lang="sl" hreflang="sl" data-title="Masno središče" data-language-autonym="Slovenščina" data-language-local-name="슬로베니아어" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Qendra_e_mas%C3%ABs" title="Qendra e masës – 알바니아어" lang="sq" hreflang="sq" data-title="Qendra e masës" data-language-autonym="Shqip" data-language-local-name="알바니아어" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A6%D0%B5%D0%BD%D1%82%D0%B0%D1%80_%D0%BC%D0%B0%D1%81%D0%B5" title="Центар масе – 세르비아어" lang="sr" hreflang="sr" data-title="Центар масе" data-language-autonym="Српски / srpski" data-language-local-name="세르비아어" 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/Masscentrum" title="Masscentrum – 스웨덴어" lang="sv" hreflang="sv" data-title="Masscentrum" data-language-autonym="Svenska" data-language-local-name="스웨덴어" 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%A8%E0%AE%BF%E0%AE%B1%E0%AF%88_%E0%AE%AE%E0%AF%88%E0%AE%AF%E0%AE%AE%E0%AF%8D" title="நிறை மையம் – 타밀어" lang="ta" hreflang="ta" data-title="நிறை மையம்" data-language-autonym="தமிழ்" data-language-local-name="타밀어" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A8%E0%B8%B9%E0%B8%99%E0%B8%A2%E0%B9%8C%E0%B8%81%E0%B8%A5%E0%B8%B2%E0%B8%87%E0%B8%A1%E0%B8%A7%E0%B8%A5" title="ศูนย์กลางมวล – 태국어" lang="th" hreflang="th" data-title="ศูนย์กลางมวล" data-language-autonym="ไทย" data-language-local-name="태국어" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/K%C3%BCtle_merkezi" title="Kütle merkezi – 터키어" lang="tr" hreflang="tr" data-title="Kütle merkezi" data-language-autonym="Türkçe" data-language-local-name="터키어" 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%A6%D0%B5%D0%BD%D1%82%D1%80_%D1%96%D0%BD%D0%B5%D1%80%D1%86%D1%96%D1%97" title="Центр інерції – 우크라이나어" lang="uk" hreflang="uk" data-title="Центр інерції" data-language-autonym="Українська" data-language-local-name="우크라이나어" 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/Massa_markazi" title="Massa markazi – 우즈베크어" lang="uz" hreflang="uz" data-title="Massa markazi" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="우즈베크어" 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/Kh%E1%BB%91i_t%C3%A2m" title="Khối tâm – 베트남어" lang="vi" hreflang="vi" data-title="Khối tâm" data-language-autonym="Tiếng Việt" data-language-local-name="베트남어" 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/%E8%B4%A8%E5%BF%83" title="质心 – 우어" lang="wuu" hreflang="wuu" data-title="质心" data-language-autonym="吴语" data-language-local-name="우어" 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/%E8%B3%AA%E5%BF%83" title="質心 – 중국어" lang="zh" hreflang="zh" data-title="質心" data-language-autonym="中文" data-language-local-name="중국어" 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/%E9%87%8D%E5%BF%83" title="重心 – 광둥어" lang="yue" hreflang="yue" data-title="重心" data-language-autonym="粵語" data-language-local-name="광둥어" 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/Q2945123#sitelinks-wikipedia" title="언어 간 링크 편집" class="wbc-editpage">링크 편집</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div 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</p> <div class="dablink hatnote"><span typeof="mw:File"><a href="/wiki/%EC%9C%84%ED%82%A4%EB%B0%B1%EA%B3%BC:%EB%8F%99%EC%9D%8C%EC%9D%B4%EC%9D%98%EC%96%B4_%EB%AC%B8%EC%84%9C" title="위키백과:동음이의어 문서"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Disambig_grey.svg/23px-Disambig_grey.svg.png" decoding="async" width="23" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Disambig_grey.svg/35px-Disambig_grey.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Disambig_grey.svg/46px-Disambig_grey.svg.png 2x" data-file-width="260" data-file-height="200" /></a></span> 천문학에 대해서는 <a href="/wiki/%EC%A7%88%EB%9F%89%EC%A4%91%EC%8B%AC_(%EC%B2%9C%EB%AC%B8%ED%95%99)" title="질량중심 (천문학)">질량중심 (천문학)</a> 문서를 참고하십시오.</div> <p><b>질량 중심</b>(質量中心)은 <a href="/wiki/%EB%AC%BC%EC%B2%B4" title="물체">물체</a> 전체의 <a href="/wiki/%EC%A7%88%EB%9F%89" title="질량">질량</a>의 중심점으로, 전체 질량이 질량 중심에 있는 것처럼 외부 계와 작용한다. </p><p>미분 질량의 위치를 질량가중치(미분질량/전체질량)를 곱하여 적분한 것이다. <a href="/wiki/%EC%A4%91%EB%A0%A5" title="중력">중력</a>이 균일한 경우 <b>무게 중심</b>과 같으므로, 혼용되어 쓰이기도 한다. 이때는 물체의 각 부분에 작용하는 중력을 합한 합력의 작용점을 무게 중심이라고 한다. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="정의"><span id=".EC.A0.95.EC.9D.98"></span>정의</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%A7%88%EB%9F%89_%EC%A4%91%EC%8B%AC&action=edit&section=1" title="부분 편집: 정의"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>입자계의 질량의 중심 <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 \mathbf {R} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">R</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {R} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5de85fcc2a00d8ba14aae84aeef812d7fef4b3d5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.003ex; height:2.176ex;" alt="{\displaystyle \mathbf {R} }"></span>은 위치계 위치 <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 \mathbf {r} _{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {r} _{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ed603561819ebd007acd75a0931d3ba401ad677a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.902ex; height:2.009ex;" alt="{\displaystyle \mathbf {r} _{i}}"></span>의 <a href="/wiki/%ED%8F%89%EA%B7%A0_(%EC%88%98%ED%95%99)" class="mw-redirect" title="평균 (수학)">평균</a>으로 정의된다.: </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 \mathbf {R} ={\sum m_{i}\mathbf {r} _{i} \over \sum m_{i}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">R</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo>∑</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mrow> <mrow> <mo>∑</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {R} ={\sum m_{i}\mathbf {r} _{i} \over \sum m_{i}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9690eb2ad1a11225ba0a1e40670afee8e150c25f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:13.521ex; height:6.509ex;" alt="{\displaystyle \mathbf {R} ={\sum m_{i}\mathbf {r} _{i} \over \sum m_{i}}}"></span></dd></dl> <p>질량 밀도 <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 \rho (\mathbf {,} d\mathbf {x} =\mathbf {0} .}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ρ</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mo mathvariant="bold">,</mo> </mrow> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">x</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mn mathvariant="bold">0</mn> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \rho (\mathbf {,} d\mathbf {x} =\mathbf {0} .}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e872bc4b39c9e61bfabb5be7f20882f82cfcc3e6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.557ex; height:2.843ex;" alt="{\displaystyle \rho (\mathbf {,} d\mathbf {x} =\mathbf {0} .}"></span> 또, 도형 D와 그 주변의 각 점 x가 밀도 f(x)를 가질 경우, 그 중심 g는 </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 \int _{D}(\mathbf {g-x} )f(\mathbf {x} )\,d\mathbf {x} =\mathbf {0} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>D</mi> </mrow> </msub> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">g</mi> <mo mathvariant="bold">−</mo> <mi mathvariant="bold">x</mi> </mrow> <mo stretchy="false">)</mo> <mi>f</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">x</mi> </mrow> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">x</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mn mathvariant="bold">0</mn> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \int _{D}(\mathbf {g-x} )f(\mathbf {x} )\,d\mathbf {x} =\mathbf {0} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1a192f8148345b9bc0777041a35ec805dfb438ca" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:22.5ex; height:5.676ex;" alt="{\displaystyle \int _{D}(\mathbf {g-x} )f(\mathbf {x} )\,d\mathbf {x} =\mathbf {0} }"></span></dd></dl> <p>를 채우는 점 g이다. 물론 g가 D 밖의 점일 수도 있다. </p> <div class="mw-heading mw-heading2"><h2 id="다각형,_다면체의_무게_중심"><span id=".EB.8B.A4.EA.B0.81.ED.98.95.2C_.EB.8B.A4.EB.A9.B4.EC.B2.B4.EC.9D.98_.EB.AC.B4.EA.B2.8C_.EC.A4.91.EC.8B.AC"></span>다각형, 다면체의 무게 중심</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%A7%88%EB%9F%89_%EC%A4%91%EC%8B%AC&action=edit&section=2" title="부분 편집: 다각형, 다면체의 무게 중심"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="다각형,_다면체에서의_(일반화된)중심"><span id=".EB.8B.A4.EA.B0.81.ED.98.95.2C_.EB.8B.A4.EB.A9.B4.EC.B2.B4.EC.97.90.EC.84.9C.EC.9D.98_.28.EC.9D.BC.EB.B0.98.ED.99.94.EB.90.9C.29.EC.A4.91.EC.8B.AC"></span>다각형, 다면체에서의 (일반화된)중심</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%A7%88%EB%9F%89_%EC%A4%91%EC%8B%AC&action=edit&section=3" title="부분 편집: 다각형, 다면체에서의 (일반화된)중심"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>다각형, 다면체에서의 중심이란, 그 도형의 중력의 합력의 작용점을 지칭한다. </p> <div class="mw-heading mw-heading3"><h3 id="도형의_무게_중심"><span id=".EB.8F.84.ED.98.95.EC.9D.98_.EB.AC.B4.EA.B2.8C_.EC.A4.91.EC.8B.AC"></span>도형의 무게 중심</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%A7%88%EB%9F%89_%EC%A4%91%EC%8B%AC&action=edit&section=4" title="부분 편집: 도형의 무게 중심"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>중력에 의한 알짜 토크가 0인 점으로 삼각형(다른 도형의 무게 중심 구하는 방법은 아래 그림 참고)의 경우 <a href="/wiki/%EC%A4%91%EC%84%A0" title="중선">중선</a>은 한 점에서 만나는데(증명은 삼각형의 닮음 또는 <a href="/wiki/%EC%B2%B4%EB%B0%94_%EC%A0%95%EB%A6%AC" title="체바 정리">체바 정리</a> 등을 이용하면 쉽게 해결됨), 이 점이 바로 다각형과 다면체의 질량 중심이라 한다. 특히 <a href="/wiki/%EC%82%BC%EA%B0%81%ED%98%95" title="삼각형">삼각형</a>의 경우 세 중선의 교점으로, 한 중선을 2:1로 내분하는 점이다. </p> <table border="2" cellspacing="2" cellpadding="2"> <tbody><tr> <td style="width:20%"><figure class="mw-halign-center" typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:%EC%82%BC%EA%B0%81%ED%98%95_%EC%A7%88%EB%9F%89%EC%A4%91%EC%8B%AC.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/ko/thumb/b/b3/%EC%82%BC%EA%B0%81%ED%98%95_%EC%A7%88%EB%9F%89%EC%A4%91%EC%8B%AC.jpg/200px-%EC%82%BC%EA%B0%81%ED%98%95_%EC%A7%88%EB%9F%89%EC%A4%91%EC%8B%AC.jpg" decoding="async" width="200" height="218" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/ko/b/b3/%EC%82%BC%EA%B0%81%ED%98%95_%EC%A7%88%EB%9F%89%EC%A4%91%EC%8B%AC.jpg 1.5x" data-file-width="221" data-file-height="241" /></a><figcaption></figcaption></figure> </td> <td style="width:20%"><figure class="mw-halign-center" typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:%EC%82%AC%EA%B0%81%ED%98%95%EC%9D%98_%EB%AC%B4%EA%B2%8C%EC%A4%91%EC%8B%AC.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/ko/thumb/f/f5/%EC%82%AC%EA%B0%81%ED%98%95%EC%9D%98_%EB%AC%B4%EA%B2%8C%EC%A4%91%EC%8B%AC.jpg/200px-%EC%82%AC%EA%B0%81%ED%98%95%EC%9D%98_%EB%AC%B4%EA%B2%8C%EC%A4%91%EC%8B%AC.jpg" decoding="async" width="200" height="219" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/ko/f/f5/%EC%82%AC%EA%B0%81%ED%98%95%EC%9D%98_%EB%AC%B4%EA%B2%8C%EC%A4%91%EC%8B%AC.jpg 1.5x" data-file-width="296" data-file-height="324" /></a><figcaption></figcaption></figure> </td></tr> <tr> <td><div style="text-align:center"><b>삼각형의 중선과 무게중심</b></div> </td> <td><div style="text-align:center"><b>사각형의 중선과 무게중심</b></div> </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="임의의_2차원_물리_형태의_중심_질량"><span id=".EC.9E.84.EC.9D.98.EC.9D.98_2.EC.B0.A8.EC.9B.90_.EB.AC.BC.EB.A6.AC_.ED.98.95.ED.83.9C.EC.9D.98_.EC.A4.91.EC.8B.AC_.EC.A7.88.EB.9F.89"></span>임의의 2차원 물리 형태의 중심 질량</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%A7%88%EB%9F%89_%EC%A4%91%EC%8B%AC&action=edit&section=5" title="부분 편집: 임의의 2차원 물리 형태의 중심 질량"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>이 방식은 알 수 없는 크기의 복잡한 평면 물체의 중력 중심을 찾아내려고 할 때 유용하다. </p> <table border="2" cellspacing="2" cellpadding="2"> <tbody><tr> <td style="width:32%"><figure class="mw-halign-center" typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Center_gravity_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/Center_gravity_0.svg/100px-Center_gravity_0.svg.png" decoding="async" width="100" height="99" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/Center_gravity_0.svg/150px-Center_gravity_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/15/Center_gravity_0.svg/200px-Center_gravity_0.svg.png 2x" data-file-width="198" data-file-height="196" /></a><figcaption></figcaption></figure> </td> <td style="width:32%"><figure class="mw-halign-center" typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Center_gravity_1.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/Center_gravity_1.svg/100px-Center_gravity_1.svg.png" decoding="async" width="100" height="86" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/Center_gravity_1.svg/150px-Center_gravity_1.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cf/Center_gravity_1.svg/200px-Center_gravity_1.svg.png 2x" data-file-width="245" data-file-height="210" /></a><figcaption></figcaption></figure> </td> <td style="width:32%"><figure class="mw-halign-center" typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Center_gravity_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/Center_gravity_2.svg/100px-Center_gravity_2.svg.png" decoding="async" width="100" height="118" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/Center_gravity_2.svg/150px-Center_gravity_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/05/Center_gravity_2.svg/200px-Center_gravity_2.svg.png 2x" data-file-width="210" data-file-height="248" /></a><figcaption></figcaption></figure> </td></tr> <tr> <td><b>1 단계:</b> 임의의 2차원 모형. </td> <td><b>2 단계:</b> <a href="/wiki/%EB%8B%A4%EB%A6%BC%EC%A4%84" class="mw-redirect" title="다림줄">다림줄</a>을 놓고 그 위치에 O 표한다. </td> <td><b>3 단계:</b> 다림줄을 다시 놓고 O 표한다. 두 선의 교점이 중력의 중심이다. </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="애니메이션"><span id=".EC.95.A0.EB.8B.88.EB.A9.94.EC.9D.B4.EC.85.98"></span>애니메이션</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%A7%88%EB%9F%89_%EC%A4%91%EC%8B%AC&action=edit&section=6" title="부분 편집: 애니메이션"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/%EC%B2%9C%EC%B2%B4%EC%97%AD%ED%95%99" title="천체역학">천체역학</a>에서 두 개의 구상 전체의 중심과 궤도에는 다음과 같은 보기를 들 수 있다. </p> <table class="wikitable" width="800"> <tbody><tr> <td valign="top"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Orbit1.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Orbit1.gif/160px-Orbit1.gif" decoding="async" width="160" height="160" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/7/73/Orbit1.gif 1.5x" data-file-width="200" data-file-height="200" /></a></span>질량이 거의 같은 두 천체가 같은 중심 주위를 공전한다. (이를테면 <a href="/wiki/%EC%86%8C%ED%96%89%EC%84%B1" title="소행성">소행성</a> <a href="/wiki/%EB%B0%98%EC%9E%91%EC%9A%A9" title="반작용">반작용</a>계) </td> <td valign="top"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Orbit2.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Orbit2.gif/160px-Orbit2.gif" decoding="async" width="160" height="160" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/f/f2/Orbit2.gif 1.5x" data-file-width="200" data-file-height="200" /></a></span>질량이 조금 다른 두 천체가 같은 중심 주위를 공전한다. (이를테면, <a href="/wiki/%EB%AA%85%EC%99%95%EC%84%B1" title="명왕성">명왕성</a>과 <a href="/wiki/%EC%B9%B4%EB%A1%A0_(%EC%9C%84%EC%84%B1)" title="카론 (위성)">카론</a>계) </td> <td valign="top"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Orbit3.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/59/Orbit3.gif/160px-Orbit3.gif" decoding="async" width="160" height="160" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/5/59/Orbit3.gif 1.5x" data-file-width="200" data-file-height="200" /></a></span>질량이 어느 정도 다른 두 천체가 같은 중심 주위를 공전한다. (이를테면, <a href="/wiki/%EC%A7%80%EA%B5%AC" title="지구">지구</a>와 <a href="/wiki/%EB%8B%AC" title="달">달</a>의 계) </td> <td valign="top"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Orbit4.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Orbit4.gif/160px-Orbit4.gif" decoding="async" width="160" height="160" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/5/5a/Orbit4.gif 1.5x" data-file-width="200" data-file-height="200" /></a></span>질량이 크게 다른 두 천체가 같은 중심 주위를 공전한다. (이를테면, <a href="/wiki/%ED%83%9C%EC%96%91" title="태양">태양</a>과 지구의 계) </td> <td valign="top"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Orbit5.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Orbit5.gif/160px-Orbit5.gif" decoding="async" width="160" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Orbit5.gif/240px-Orbit5.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Orbit5.gif/320px-Orbit5.gif 2x" data-file-width="400" data-file-height="200" /></a></span>질량이 거의 같은 두 천체가 같은 중심 주위를 <a href="/wiki/%ED%83%80%EC%9B%90_%EA%B6%A4%EB%8F%84" title="타원 궤도">타원 궤도</a>를 그리며 공전한다. (이를테면, <a href="/wiki/%EC%8C%8D%EC%84%B1" title="쌍성">쌍성</a> <a href="/wiki/%EC%84%BC%ED%83%80%EC%9A%B0%EB%A3%A8%EC%8A%A4%EC%9E%90%EB%A6%AC_%EC%95%8C%ED%8C%8C" title="센타우루스자리 알파">센타우루스자리 알파</a>의 공전 형태) </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="같이_보기"><span id=".EA.B0.99.EC.9D.B4_.EB.B3.B4.EA.B8.B0"></span>같이 보기</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%A7%88%EB%9F%89_%EC%A4%91%EC%8B%AC&action=edit&section=7" title="부분 편집: 같이 보기"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%EB%B6%80%EB%A0%A5" title="부력">부력</a></li> <li><a href="/wiki/%EB%AC%B4%EA%B2%8C_%EC%A4%91%EC%8B%AC_(%EA%B8%B0%ED%95%98%ED%95%99)" title="무게 중심 (기하학)">무게 중심 (기하학)</a></li> <li><a href="/wiki/%EA%B8%B0%EB%8C%93%EA%B0%92" title="기댓값">기댓값</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="외부_링크"><span id=".EC.99.B8.EB.B6.80_.EB.A7.81.ED.81.AC"></span>외부 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