In the figure below, the hanging object has a mass ofm1 = 0.400 kg; the sliding block has a mass ofm2 = 0.810 kg; and the pulley is a hollowcylinder with a mass of M = 0.350 kg, an inner radius ofR1 = 0.020 0 m, and an outer radius ofR2 = 0.030 0 m. Assume the mass of the spokesis negligible. The coefficient of kinetic friction between theblock and the horizontal surface is μk = 0.250.The pulley turns without friction on its axle. The light cord doesnot stretch and does not slip on the pulley. The block has avelocity of vi = 0.820 m/s toward the pulleywhen it passes a reference point on the table.
(a) Use energy methods to predict its speed after it has movedto a second point, 0.700 m away.
m/s
(b) Find the angular speed of the pulley at the same moment.
rad/s
