In the system shown in Fig. 5.54, block A has mass mA, block B has mass mB' and the rope connecting them has a nonzero mass mole. The rope has a total 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 rope hangs vertically between the pulleys and block B. As block B falls, will the magnitude of the acceleration of the system increase, decrease, or remain constant? Explain.
(b) Let mA = 2.00 kg, mB = 0.400 kg, mrope = 0.160 kg, and L = 1.00m. If the is friction between block A and the tabletop, with μk = 0.200 and IL, = 0.250, find 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 mropo = 0.040 kg. Will the blocks move in this case?