Question

# A hanging weight, with a mass of m1 = 0.370 kg, is attached by a string...

A hanging weight, with a mass of m1 = 0.370 kg, is attached by a string to a block with mass m2 = 0.850 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 μk = 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.

A pulley of inner radius R1 and outer radius R2 is attached to the corner of a table such that the pulley is diagonal from the corner and the center of the pulley is to the right of the edge. A hanging weight of mass m1 hangs off the side of the table and is suspended by a string that extends over the pulley. The other end of the string is attached to a block of mass m2, which is on the table. An arrow between the block and the pulley points towards the pulley, and an arrow between the pulley and the hanging mass points towards the ground.

(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.

m/s

(b)

What is the angular speed of the pulley (in rad/s) after the block has moved this distance?

#### Earn Coins

Coins can be redeemed for fabulous gifts.