理论力学课后习题答案(1-2)

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1、㄀1ゴ䴭࡯ᄺ݀⧚੠⠽ԧⱘফ࡯ߚᵤ1-1⬏ߎϟ߫৘೒Ё⠽ԧAˈABC៪ᵘӊABˈACⱘফ࡯೒DŽ᳾⬏䞡࡯ⱘ৘⠽ԧⱘ㞾䞡ϡ䅵ˈ᠔᳝᥹㾺໘ഛЎܝ⒥᥹㾺DŽFN1APFN2(a)(a1)FTAPFN(b)(b1)AFN1PBFN3FN2(c)(c1)FTBFAyP1PA2FAx(d)(d1)FFABFAB(e)(e1)1qFFFAyBFAxAB(f)(f1)FBCFCAFA(g)(g1)FAyFCCAFBAxP1P2(h)(h1)BFCFCFAxDAFAy(i)(i1)(j)(j1)BFFBCPFAyFAxA(k)(k1)2FCAFABF

2、ACCAFABBFACFABAP(l)(l1)(l2)(l3)೒1-11-2⬏ߎϟ߫↣Ͼᷛ⊼ᄫヺⱘ⠽ԧⱘফ࡯೒DŽ乬೒Ё᳾⬏䞡࡯ⱘ৘⠽ԧⱘ㞾䞡ϡ䅵ˈ᠔᳝᥹㾺໘ഛЎܝ⒥᥹㾺DŽCFN2FNP2(a)(a1)BFN1FBN1CFN2FNP2P1P1FAyFAyFAxFAxAA(a2)(a3)FN1AP1FBN3P2FN2(b)(b1)FNFABN3FN1P2P1FFNN2(b2)(b3)3FAyFAAxCDFN2BP2P1FN1(c)(c1)FAyFTFAAxDFFTN2BP1FPN12(c2)(c3)FAyFqBAFCDBAx

3、FC(d)(d1)FAyFDyqFBqDFBAFCFDDxAxDxFCFDy(d2)(d3)FAyqFBxBFFAyAxqABFFByAxFCyFFCxCPABBxPCFCxFByFCy(e)(e1)(e2)(e3)F1CFF2AyFByABFFAxBx(f)(f1)4FCxCFCxCF1FAyFCyFCyF2FByAFBxFAxB(f2)(f3)FFBAyCBAFAxP(g)(g1)FCyFTFCCxFAyFBFTFDCAxBAFCxP(g2)(g3)DF1FCyFBFFB2BCFCxBFAyAFAx(h)(

4、h1)(h2)AFAxFAyFCyFCxCFAFCyEFFOyCDFOxFCxEOB(i)(i1)(i2)5AAFAxFFEAyFECDFFByFByOyFBxOFOxFBxBB(i3)(i4)FAyDEFACxCFAxCFTFByHFByFCyBPFBxBFBx(j)(j1)(j2)FAyFDyFEyFT2EFCFCxDFT2AxFExFFExADFDxEDxFFT3T1FFFDyEyCy(j3)(j4)(j5)EFFBCEDFBCxFFCyDE(k)(k1)FFBFCBFECxCFCy90

5、FDEDDFAyFAyAFAFAxAx(k2)(k3)6FBFF1BFBDBDACFFAC(l)(l1)(l2)F2FDDF1F2DBACEEFEFAFCFE(l3)(l4)៪FFFFBFDy2F1F1Dy2FDDxBDFDxDBFExACFCEEExFCFEyFAFCFEy(l2)’(l3)’(l4)’FADAFCyFCxCF1B(m)(m1)FADDFADEHF2ADFFFEHAD(m2)(m3)7FANAFkFNBFOyFOxBO(n)(n1)FN1BDqFBFN2FN3(n2)FBDFFFCFEAGF

6、ACEG(o)(o1)FBBDFDFBFFCFDEFAFAFBCFDEF(o2)(o3)(o4)೒1-28㄀2ゴᑇ䴶∛Ѹ࡯㋏Ϣᑇ䴶࡯ي㋏2-1䪚᥹㭘ᵓ೼ᄨᖗAˈB੠C໘ফ3Ͼ࡯԰⫼ˈབ೒2-1a᠔⼎DŽF100Nˈ⊓䪙1Ⳉᮍ৥˗F50Nˈ⊓∈ᑇᮍ৥ˈᑊ䗮䖛⚍A˗F50Nˈ࡯ⱘ԰⫼㒓г䗮䖛⚍Aˈሎ32ᇌབ೒DŽ∖ℸ࡯㋏ⱘড়࡯DŽyFc3dF2F1F2bFFAF3x1R60a(a)(b)(c)೒2-1㾷˄1˅޴ԩ⊩԰࡯໮䖍ᔶabcdˈ݊ᇕ䯁䖍adे⹂ᅮњড়࡯FRⱘ໻ᇣ੠ᮍ৥DŽ⬅೒2-1bˈᕫ22F(FF4/5)(FF

7、3/5)R123222(100N50N4/5)(50N50N3/5)=161NFF4/512(F,F)arccos()R1FR100N50N4/5arccos()29.742944161N˄2˅㾷ᵤ⊩ᓎゟབ೒2-1c᠔⼎ⱘⳈ㾦തᷛ㋏AxyDŽFFF3/550N50N3/580Nx12FFF4/5100N50N4/5140Ny12F(80i140j)NR22F(80N)(140N)161NR2-2བ೒2-2a᠔⼎ˈ೎ᅮ೼๭ຕϞⱘ೚⦃ফ3ᴵ㓇㋶ⱘᢝ࡯԰⫼ˈ࡯F

8、1⊓∈ᑇᮍ৥ˈ࡯F3⊓䪙Ⳉᮍ৥ˈ࡯F2Ϣ∈ᑇ㒓៤40É㾦DŽ3Ͼ࡯ⱘ໻ᇣߚ߿ЎF1=2000NˈF2=2500NˈF3=1500NDŽ∖3Ͼ࡯ⱘড়࡯DŽFa1FOx1O40F402Fb2FRF3F3cy(a)(b)(c)೒2-2㾷˄1˅㾷ᵤ⊩ᓎゟབ೒2-2b᠔⼎