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149_Physics ProblemsTechnical Physics

149_Physics ProblemsTechnical Physics - Chapter 5*P5.66 The...

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Chapter 5 151 *P5.66 The upward acceleration of the rod is described by y y v t a t a a f i yi y y y = + + × = + + × = 1 2 1 10 0 0 1 2 8 10 31 2 2 3 3 2 m s m s 2 e j . The distance y moved by the rod and the distance x moved by the wedge in the same time are related by tan tan 15 15 °= = ° y x x y . Then their speeds and accelerations are related by FIG. P5.66 dx dt dy dt = ° 1 15 tan and d x dt d y dt 2 2 2 2 1 15 1 15 31 2 117 = ° = ° F H G I K J = tan tan . m s m s 2 2 . The free body diagram for the rod is shown. Here H and H are forces exerted by the guide. F ma n mg ma n n y y y = °− = °− = = ° = : cos cos . . . . . cos . 15 15 0 250 9 8 0 250 31 2 10 3 15 10 6 2 kg m s kg m s N N 2 e j e j For the wedge,
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