《理论力学》 第九章 点的复合运动

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2、vvvvevvvea330cotOMAB2C已知：已知：R， =t (为常数为常数)求：求：(1) 小环小环M的速度的速度(2) 小环小环M相对于相对于AB杆的速度杆的速度vavevrcos2RAMveRvvea2cos/reavvvsin2sinRvvarOO1ABvavevrreavvvrv asinsinrvvae222211sin/sin/rlrrvAOveeOO1ABCvBavBevBrvAavAevArArAeAavvvBrBeBavvvOABhvavevrreavvvhv etantanhvveaCO1O3rA2vavrvereavvvrv a)90sin(2sinaevv51/

3、11COveAOrvv510sin2aeyO1O2ve1vr1vr2ve211arevvv22arevvv2211rerevvvv21145cos45coserevvv22112;2rvrvee112rvr1114rvvveraCO1O3rACOABM8-2OyxzijkyxzOrrOrOrrrdtddtddtdOrrrdtdarvdtddtzddtyddtxdrrkjiveOdtdvvrOreavvvkjir zyx8-2reavvvMrOyxzrijkyxzOOrdtddtddtdreavvvdtddtzddtyddtxdrr222222vkjiadtdaavaeeaavvOOdtddtd

4、reaaaakjivdtzddtyddtxdrreaaaanrrneenaaaaaaaaCOABearaaaAreaaaa2laa22130sinlaaaeOO1ARBCvavrvereavvvs /m4 . 0OAvam/s4 . 0arevvvm/s4 . 0eBCvv=30OO1ARBCaeranraaaAnrreaaaaa22s /m6 . 1OAaa22s /m6 . 1/Rvarnrynreaaaa30cos60cos2m/s771. 2eBCaaOO1ARBC=30 xcos21RxOs /m4 . 0sin2sin211rdtdRdtdxvoO2211s /m7712. 2co

5、s2rdtdvaoOOO1ABCDvAvavrvereavvvrvvAervvvarervvaCDOO1ABCD2raaAe其其中中reaaaaaaaraeaAy60cos30coseaaa23330tanraaaeaCD8-3OrreavRvvvr2rraavRvRRvRRva2)(222MreaaaaOyxzrAijkyxzOOrAOrkrAAedtdrrvAAOeOOdtdrrv)(krkrOeOdtddtdkkedtddtddtddtdAOrkrkk, jj, iieeedtddtddtdkjivdtzddtyddtxdrdtddtzddtddtyddtddtxddtzddtyddtx

6、ddtdkjikjiv222222rdtddtzddtyddtxdrr222222vkjiareeeedtzddtyddtxddtddtzddtddtyddtddtxdvkjikji)()()(rrrdtdvaverveeOrrMrijkyxzOOyxz dtddtddtdeeerrvrevraeereedtdvave)(reeeedtdvvrveedtdreadtdvvvrrrrdtdvavereedtdvavedtddtddtdreaavvvaCreaaaaa科科氏氏加加速速度度rvae2CaCvrreCva 2sin2reCv aCreaaaaaOMAB2C已知：已知：R， =t(为常数