A pulley with a mass M and a radius R is mounted on a frictionless horizontal axle passing through the center of the pulley. A block with a mass M hangs down from a string that is wrapped around the outside of the pulley. Assume that the pulley is a uniform solid disk. 1. Determine the acceleration of the block when the system is released from rest. ( the masses of the pulley and the hanging block are the same) 2. What is the speed of the block after it falls for 1.5 m? 3. How many revolutions did the pulley make at that time?

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A pulley with a mass M and a radius R is mounted on a frictionless horizontal axle passing through
the center of the pulley. A block with a mass M hangs down from a string that is wrapped around the
outside of the pulley. Assume that the pulley is a uniform solid disk.
1. Determine the acceleration of the block when the system is released from rest. ( the masses of
the pulley and the hanging block are the same)
2. What is the speed of the block after it falls for 1.5 m?
3. How many revolutions did the pulley make at that time?
Transcribed Image Text:A pulley with a mass M and a radius R is mounted on a frictionless horizontal axle passing through the center of the pulley. A block with a mass M hangs down from a string that is wrapped around the outside of the pulley. Assume that the pulley is a uniform solid disk. 1. Determine the acceleration of the block when the system is released from rest. ( the masses of the pulley and the hanging block are the same) 2. What is the speed of the block after it falls for 1.5 m? 3. How many revolutions did the pulley make at that time?
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