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import{_ as e,c as m,a as s,b as a,e as t,d as n,o as i,r as p}from"./app.4993da53.js";const gs=JSON.parse('{"title":"Formulas for IPhO 日本語版: Section 4","description":"","frontmatter":{},"headers":[{"level":2,"title":"4: 力学","slug":"_4-力学","link":"#_4-力学","children":[{"level":3,"title":"4.1: 剛体の二次元的な平衡","slug":"_4-1-剛体の二次元的な平衡","link":"#_4-1-剛体の二次元的な平衡","children":[]},{"level":3,"title":"4.2: 垂直抗力","slug":"_4-2-垂直抗力","link":"#_4-2-垂直抗力","children":[]},{"level":3,"title":"4.3: 並進運動と回転運動","slug":"_4-3-並進運動と回転運動","link":"#_4-3-並進運動と回転運動","children":[]},{"level":3,"title":"4.4: 一般化座標","slug":"_4-4-一般化座標","link":"#_4-4-一般化座標","children":[]},{"level":3,"title":"4.5: 系質点","slug":"_4-5-系質点","link":"#_4-5-系質点","children":[]},{"level":3,"title":"4.6: 質量中心の速度","slug":"_4-6-質量中心の速度","link":"#_4-6-質量中心の速度","children":[]},{"level":3,"title":"4.7: Steiner 定理","slug":"_4-7-steiner-定理","link":"#_4-7-steiner-定理","children":[]},{"level":3,"title":"4.8: ポイント 6","slug":"_4-8-ポイント-6","link":"#_4-8-ポイント-6","children":[]},{"level":3,"title":"4.9: ポイント 5","slug":"_4-9-ポイント-5","link":"#_4-9-ポイント-5","children":[]},{"level":3,"title":"4.10: 原点に対する慣性","slug":"_4-10-原点に対する慣性","link":"#_4-10-原点に対する慣性","children":[]},{"level":3,"title":"4.11: 相当単振子の長","slug":"_4-11-相当単振子の長","link":"#_4-11-相当単振子の長","children":[]},{"level":3,"title":"4.12: 慣性モーメントの係数","slug":"_4-12-慣性モーメントの係数","link":"#_4-12-慣性モーメントの係数","children":[]},{"level":3,"title":"4.13: よく使われる保存則","slug":"_4-13-よく使われる保存則","link":"#_4-13-よく使われる保存則","children":[]},{"level":3,"title":"4.14: 非慣性系における見かけの力","slug":"_4-14-非慣性系における見かけの力","link":"#_4-14-非慣性系における見かけの力","children":[]},{"level":3,"title":"4.15: 傾いた座標","slug":"_4-15-傾いた座標","link":"#_4-15-傾いた座標","children":[]},{"level":3,"title":"4.16: 2 つの物体の衝突","slug":"_4-16-2-つの物体の衝突","link":"#_4-16-2-つの物体の衝突","children":[]},{"level":3,"title":"4.17: 剛体のすべての運動","slug":"_4-17-剛体のすべての運動","link":"#_4-17-剛体のすべての運動","children":[]},{"level":3,"title":"4.18: 紐の張力","slug":"_4-18-紐の張力","link":"#_4-18-紐の張力","children":[]},{"level":3,"title":"4.19: 液体の表面","slug":"_4-19-液体の表面","link":"#_4-19-液体の表面","children":[]},{"level":3,"title":"4.20: 非圧縮性流体に対する Bernoulli の法則","slug":"_4-20-非圧縮性流体に対する-bernoulli-の法則","link":"#_4-20-非圧縮性流体に対する-bernoulli-の法則","children":[]},{"level":3,"title":"4.21: 直線的な流線","slug":"_4-21-直線的な流線","link":"#_4-21-直線的な流線","children":[]},{"level":3,"title":"4.22: 断熱不変量","slug":"_4-22-断熱不変量","link":"#_4-22-断熱不変量","children":[]},{"level":3,"title":"4.23: 安定性","slug":"_4-23-安定性","link":"#_4-23-安定性","children":[]},{"level":3,"title":"4.24: 空間的に有限な運動に対する Virial 定理","slug":"_4-24-空間的に有限な運動に対する-virial-定理","link":"#_4-24-空間的に有限な運動に対する-virial-定理","children":[]},{"level":3,"title":"4.25: Tsiolkovsky 公式","slug":"_4-25-tsiolkovsky-公式","link":"#_4-25-tsiolkovsky-公式","children":[]}]}],"relativePath":"academic/physics/ipho-formulas-jpn/4.md","lastUpdated":1677771075000}'),r={name:"academic/physics/ipho-formulas-jpn/4.md"},c=n('<h1 id="formulas-for-ipho-日本語版-section-4" tabindex="-1">Formulas for IPhO 日本語版: Section 4 <a class="header-anchor" href="#formulas-for-ipho-日本語版-section-4" aria-hidden="true">#</a></h1><h2 id="_4-力学" tabindex="-1">4: 力学 <a class="header-anchor" href="#_4-力学" aria-hidden="true">#</a></h2><h3 id="_4-1-剛体の二次元的な平衡" tabindex="-1">4.1: 剛体の二次元的な平衡 <a class="header-anchor" href="#_4-1-剛体の二次元的な平衡" aria-hidden="true">#</a></h3><ol><li>剛体の二次元的な平衡 : 力についての 2 つの式とトル クについての 1 つの式. 1 （又は 2 ）個の力についての 式は 1（又は 2）個のトルクについての式で代用でき る. トルクの方が良い場合が多く，原点を適切に選択 することで「退屈な」力を消すことができる. もし 2 点 のみに力がかかっているならば，（正味の）力がかかっ ている直線は一致する. 3 点であれば, 3 つの直線は 1 点で交わる.</li></ol><h3 id="_4-2-垂直抗力" tabindex="-1">4.2: 垂直抗力 <a class="header-anchor" href="#_4-2-垂直抗力" aria-hidden="true">#</a></h3>',5),h=s("ol",{start:"2"},[s("li",null,[a("垂直抗力と摩擦力は 1 つの力に合成でき, 垂直抗力に 対して 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