53. In Figure P10.53, the hanging object has a mass of m, = 0.420 kg; the sliding block has a mass of m, = 0.850 kg; R2 R m2 and the pulley is a hollow cylinder with a mass of M = 0.350 kg, an inner radius of R, = 0.020 0 m, and an outer radius of R, = 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 µz 0.250. The pulley turns without friction on its axle. The light cord does not stretch and does not slip on the pul- ley. The block has a velocity of v; = 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.

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
Section: Chapter Questions
Problem 40P: In Figure P10.40, the hanging object has a mass of m1 = 0.420 kg; the sliding block has a mass of m2...
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53. In Figure P10.53, the hanging object has a mass of m, =
0.420 kg; the sliding block has a mass of m, = 0.850 kg;
R2 R
m2
and the pulley is a hollow cylinder with a mass of M =
0.350 kg, an inner radius of R, = 0.020 0 m, and an
outer radius of R, = 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 µz
0.250. The pulley turns without friction on its axle. The
light cord does not stretch and does not slip on the pul-
ley. The block has a velocity of v; = 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.
Transcribed Image Text:53. In Figure P10.53, the hanging object has a mass of m, = 0.420 kg; the sliding block has a mass of m, = 0.850 kg; R2 R m2 and the pulley is a hollow cylinder with a mass of M = 0.350 kg, an inner radius of R, = 0.020 0 m, and an outer radius of R, = 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 µz 0.250. The pulley turns without friction on its axle. The light cord does not stretch and does not slip on the pul- ley. The block has a velocity of v; = 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.
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