. A hanging weight, with a mass of mi = 0.370 kg, is attached by a string to a block with mass m2 = 0.820 kg as shown in the figure below. The string goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is uk = 0.250. At the instant shown, the block is moving with a velocity of vi = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the string does not stretch and does not slip on the pulley, and that the mass of the string is negligible. R2 R a. Using energy methods, find the speed of the block (in m/s) after it has moved a distance of 0.700 m away from the initial position shown. m2 b. What is the angular speed of the pulley (in rad/s) after the block has moved this distance?

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Chapter11: Angular Momentum
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2. A hanging weight, with a mass of mi = 0.370 kg, is attached by a string to a block
0.820 kg as shown in the figure below. The string goes over a pulley
with a mass of M= 0.350 kg. The pulley can be modeled as a hollow cylinder with an
inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the
spokes is negligible. As the weight falls, the block slides on the table, and the
coefficient of kinetic friction between the block and the table is uk = 0.250. At the
instant shown, the block is moving with a velocity of vi = 0.820 m/s toward the
pulley. Assume that the pulley is free to spin without friction, that the string does not
stretch and does not slip on the pulley, and that the mass of the string is negligible.
with mass m2 =
||
a. Using energy methods, find the speed of the
block (in m/s) after it has moved a distance
of 0.700 m away from the initial position
shown.
R1
m2
b. What is the angular speed of the pulley (in
rad/s) after the block has moved this
distance?
Transcribed Image Text:2. A hanging weight, with a mass of mi = 0.370 kg, is attached by a string to a block 0.820 kg as shown in the figure below. The string goes over a pulley with a mass of M= 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is uk = 0.250. At the instant shown, the block is moving with a velocity of vi = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the string does not stretch and does not slip on the pulley, and that the mass of the string is negligible. with mass m2 = || a. Using energy methods, find the speed of the block (in m/s) after it has moved a distance of 0.700 m away from the initial position shown. R1 m2 b. What is the angular speed of the pulley (in rad/s) after the block has moved this distance?
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