Question

A hanging weight, with a mass of *m*_{1} = 0.365
kg, is attached by a cord to a block with mass
*m*_{2} = 0.815 kg as shown in the figure below. The
cord 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
*R*_{1} = 0.0200 m, and an outer radius of
*R*_{2} = 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 *μ*_{k} = 0.250. At the instant shown, the block
is moving with a velocity of *v*_{i} =
0.820 m/s toward the pulley. Assume that the pulley is free to spin
without friction, that the cord does not stretch and does not slip
on the pulley, and that the mass of the cord is negligible.

A pulley of inner radius *R*_{1} and outer radius
*R*_{2} 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
*m*_{1} 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
*m*_{2}, 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?

rad/s

Answer #1

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...

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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
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A hanging object has a mass of m1 = 0.435 kg; the sliding block
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an outer radius of R2 = 0.030 0 m. Assume the mass of the spokes is
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In the figure below, the hanging object has a mass of
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m2 = 0.900 kg; and the pulley is a hollow
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R2 = 0.030 0 m. Assume the mass of the spokes
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wrapped around a pulley (moment of inertia = 1.1 x 10-3
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