理论力学全套解疑15

14-141A14-14O)()(ddeOOmmmtFv∑∑=AaOrvgPJrvgPmmOOO⋅++⋅=∑ω)(vOrFrPmeO1)(−=∑F221rgPJO=kxFrvO==1ωAgPkxPtva5)(2dd−==rvωOAtvddAaA2112−∑=−WTT14-1432222245212121vgPvgPJvgPTOO=++=ωT1=0222212)0(21xkPxxkPxW−=−+=−∑AxPxkPxgv5242⎟⎠⎞⎜⎝⎛−=AatPxkPxgv52422⎟⎠⎞⎜⎝⎛−=ttxvdd=gPkxPtva5)(2dd−==A14-14214-142AA14-142AOC222121OOJvgPω222121ωCCJvgP+14-144XOYONFXOYONFPF114-142112−∑=−WTTPJvgPJvgPCCOO=−⎥⎦⎤⎢⎣⎡⎟⎟⎠⎞⎜⎜⎝⎛+++0212121212222ωω)(2122CxOk−14-144RvgPRJvvrvgrPJCCCOO=====ωω,2,2,,2222,2xxrRC==22811615kxPxvgP−=(1)(1)ttxvdd=AgPkxPtva15)4(2dd−==1214-1014-10114-10214-102A2112−∑=−WTT122221120212121ϕωωOMxmgJJmv+⋅−=−⎟⎠⎞⎜⎝⎛++xO1ϕ1O2ϕ2Ak=21ϕϕ⎟⎠⎞⎜⎝⎛==Rvkk21ωωmgxkMvRJJkmRO−=++22221222ϕttxvdd=A2122)(JJkmRmgRkMRaO++−=1.2.3.4.1.2.3.4.Jzω5.6.7.5.6.7.P)()(ddFPPmJt∑=ωJPPωS15-7F1F2FnPwTδ∑=d221ωPJT=ϕδd)(FPmw=Fi(1)ϕωd)(21d2FPPmJ∑=⎟⎠⎞⎜⎝⎛tmJtPPdd)(21dd2ϕωF∑=⎟⎠⎞⎜⎝⎛[]ωωωω)(dd2dd212FPPPmtJtJ∑=⎟⎠⎞⎜⎝⎛⋅+)(dd2)(dd2)(dd2ρωωωMJtmtJmtJCPPPP+−=−=∑∑FFCJC=tJCdd=0tMmtJPPdd)(ddρρωω−=∑F(2)2PPC=ρ=tddρ=0(2))(ddFPPmtJ∑==ω)()(ddFPPmJt∑=ω14-141BBBF15-81BC14-142CPF14-144P15-821215-8t=0[]=+=⋅+⋅+++=+=PrhkPrhPPhVVV)2(0210)(2000=T=+=+PrhTV)2(00t=t[]2281)2(221)(kxPxPrhxkPxrhPPhVVV+−+=⎟⎠⎞⎜⎝⎛+−++=+=21615vgPT=[15-21]2281)2(1615kxPxPrhvgPVT+−++=+00VTVT+=+PrhkxPxPrhvgP)2(81)2(161522+=+−++ttxvdd=AgPkxPtva15)4(2dd−==15-2O′O′O′O′O′O′O′O′vMO′vO′vMO′vM=vO′+vMO′221MmvT∑=OMOOOOMOOMOOMOOMOMMMmJMvvvmmmmvT′′′′′′′′′′′′⋅++=⋅++=+⋅+=⋅==∑∑∑∑∑vvvvvvvvvv222222121)2(21)()(212121ωmM∑=2OMmJO′=∑′O′ω0≠⋅′′∑OMOmvv222121ωOOJMvT′′+≠O′O′O′cMvMvCvMCvM=vC+vMCMCCCCMCCMCCMCCMCCMMMmJMvvvmvmmmvTvvvvvvvvv⋅++=⋅++1=+⋅+=⋅==∑∑∑∑∑222222121)2(2)()(212121ωmM∑=2MCmJC∑=CωCrCMCCMCCMmmvvvvvv⋅=⋅=⋅∑∑C=0CrvCrv0=⋅∑MCCmvv222121ωCCJMvT+=