In Figure P10.53, the hanging object has a mass of m1 5

Chapter 10, Problem 53

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In Figure P10.53, the hanging object has a mass of m1 5 0.420 kg; the sliding block has a mass of m2 5 0.850 kg; and the pulley is a hollow cylinder with a mass of M 5 0.350 kg, an inner radius of R1 5 0.020 0 m, and an outer radius of R2 5 0.030 0 m. Assume the mass of the spokes is negligible. The coefficient of kinetic friction between the block and the horizontal surface is mk 5 0.250. The pulley turns without friction on its axle. The light cord does not stretch and does not slip on the pulley. The block has a velocity of vi 5 0.820 m/s toward the pulley when it passes a reference point on the table. (a) Use energy methods to predict its speed after it has moved to a second point, 0.700 m away. (b) Find the angular speed of the pulley at the same moment.