3. A massiess string is wound around a stationary cylinder of mass 2 kg, radius 3 m, and moment of inertia MR. The pulley hangs from a bracket attached to the ceiling. From the end of the string a 5 kg block is suspended and initially held at rest. 3 m 2 kg (A) The block is released and accelerates downward unrolling the string. Determine the linear acceleration of the block. 5 kg (B) The block starts 4 meters above the ground. Find the angular velocity of the cylinder when the box hits the ground. (C) Assume the wheel is rotating at 4 rad/s when the box it's the floor. A 10 N-m torque is applied to slow the cylinder to a How many revolutions does the cylinder make before coming to a stop? stop.

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Chapter1: Units, Trigonometry. And Vectors
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3. A massiess string is wound around a stationary cylinder of mass 2 kg, radius 3 m, and moment of
inertia MR. The pulley hangs from a bracket attached to the ceiling. From the end of the string a 5
kg block is suspended and initially held at rest.
3 m
2 kg
(A) The block is released and accelerates downward unrolling the string. Determine the linear
acceleration of the block.
5 kg
(B) The block starts 4 meters above the ground. Find the angular velocity of the cylinder when the box hits the ground.
(C) Assume the wheel is rotating at 4 rad/s when the box it's the floor. A 10 N-m torque is applied to slow the cylinder to a
How many revolutions does the cylinder make before coming to a stop?
stop.
Transcribed Image Text:3. A massiess string is wound around a stationary cylinder of mass 2 kg, radius 3 m, and moment of inertia MR. The pulley hangs from a bracket attached to the ceiling. From the end of the string a 5 kg block is suspended and initially held at rest. 3 m 2 kg (A) The block is released and accelerates downward unrolling the string. Determine the linear acceleration of the block. 5 kg (B) The block starts 4 meters above the ground. Find the angular velocity of the cylinder when the box hits the ground. (C) Assume the wheel is rotating at 4 rad/s when the box it's the floor. A 10 N-m torque is applied to slow the cylinder to a How many revolutions does the cylinder make before coming to a stop? stop.
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