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JavaScript
2 lines
64 KiB
JavaScript
import{_ as n,c as m,a as s,b as a,e,d as l,o as i,r as p}from"./app.78267888.js";const C=JSON.parse('{"title":"Formulas for IPhO 日本語版: Section 3","description":"","frontmatter":{},"headers":[{"level":2,"title":"3: 運動学","slug":"_3-運動学","link":"#_3-運動学","children":[{"level":3,"title":"3.1: 質点","slug":"_3-1-質点","link":"#_3-1-質点","children":[]},{"level":3,"title":"3.2: 回転運動","slug":"_3-2-回転運動","link":"#_3-2-回転運動","children":[]},{"level":3,"title":"3.3: 曲線運動","slug":"_3-3-曲線運動","link":"#_3-3-曲線運動","children":[]},{"level":3,"title":"3.4: 剛体の運動","slug":"_3-4-剛体の運動","link":"#_3-4-剛体の運動","children":[]},{"level":3,"title":"3.5: 非慣性系","slug":"_3-5-非慣性系","link":"#_3-5-非慣性系","children":[]},{"level":3,"title":"3.6: 弾道問題","slug":"_3-6-弾道問題","link":"#_3-6-弾道問題","children":[]},{"level":3,"title":"3.7: 最短経路","slug":"_3-7-最短経路","link":"#_3-7-最短経路","children":[]},{"level":3,"title":"3.8: 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\\omega & =\\mathrm{d} \\varphi / \\mathrm{d} t, \\varepsilon=\\mathrm{d} \\omega / \\mathrm{d} t \\\\ \\boldsymbol{a} & =\\boldsymbol{\\tau} \\mathrm{d} v / \\mathrm{d} t+\\boldsymbol{n} v^2 / R \\end{aligned} ")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"3.0241em","vertical-align":"-1.2621em"}}),s("span",{class:"mord"},[s("span",{class:"mtable"},[s("span",{class:"col-align-r"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"1.7621em"}},[s("span",{style:{top:"-3.9221em"}},[s("span",{class:"pstrut",style:{height:"3em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.03588em"}},"ω")])]),s("span",{style:{top:"-2.3979em"}},[s("span",{class:"pstrut",style:{height:"3em"}}),s("span",{class:"mord"},[s("span",{class:"mord"},[s("span",{class:"mord"},[s("span",{class:"mord 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tabindex="-1">3.3: 曲線運動 <a class="header-anchor" href="#_3-3-曲線運動" aria-hidden="true">#</a></h3><ol start="3"><li>曲線運動は，ポイント 1 と同じだが，ベクトルは線速 度，加速度，経路長に置き換える.</li></ol><h3 id="_3-4-剛体の運動" tabindex="-1">3.4: 剛体の運動 <a class="header-anchor" href="#_3-4-剛体の運動" aria-hidden="true">#</a></h3>',3),u=s("ol",{start:"4"},[s("li",null,[a("剛体の運動: "),s("ul",null,[s("li",null,[s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("msub",null,[s("mi",null,"v"),s("mi",null,"A")]),s("mi",null,"cos"),s("mo",null,""),s("mi",null,"α"),s("mo",null,"="),s("msub",null,[s("mi",null,"v"),s("mi",null,"B")]),s("mi",null,"cos"),s("mo",null,""),s("mi",null,"β")]),s("annotation",{encoding:"application/x-tex"},"v_A \\cos \\alpha=v_B \\cos 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