07_P38InstructorSolution

07_P38InstructorSolution - 7.38. Model: Assume the particle...

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7.38. Model: Assume the particle model for 1 , m 2 , m and 3 , m and the model of kinetic friction. Assume the ropes to be massless, and the pulleys to be frictionless and massless. Visualize: Solve: Newton’s second law for 1 m is 1G 11 1 () . TF m a −= Newton’s second law for 2 m is () () ( )( ) 2 2 on 2 G 2 2 0 N 2.0 kg 9.8 m/s 19.6 N m y Fn F n =− = ⇒= = 2 on 2 k2 2 2 2 k 2 1 2 ( 2 . 0 k g ) mx FT f T m a T n T a μ =− −= ⇒− Newton’s second law for 3 m is ( ) 3 on 2 G 3 3 3 m y F m a = Since 12 3 , , and mm m move together, 3 . aa aa = =− = The equations for the three masses thus become
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