In the system shown in Fig. P5.34, block A has mass ?m? , block B has maA? ?m? , b? and the rope connecting them has a ?nonzero ?mass ?m? . The rope has a total rope? length ?L, ?and the pulley has a very small radius. You can ignore any sag in the horizontal part of the rope. (a) If there is no friction between block ?A ?and the tabletop, find the acceleration of the blocks at an instant when a length ?d ?of the rope hangs vertically between the pulley and block ?B?. As block ?B ?falls, will the magnitude of the acceleration of the system increase, decrease or remain constant? Explain. (b) Let ?m? A ?.00 kg, ?m? = 0.B?0 kg, ?m? rope?0.016 kg, and ?L = ?1.00 m. If there is friction between Block A and the table top with ? = 0.200 and ? =k ?250, find s ? the minimum value of the distance? d? such that the blocks will start to move if they are initially at rest. (c) Repeat part (b) for the case ?m? rope? 0.040 kg. Will the blocks move in this case?
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