An Atwood machine consists of two masses, ma = 7.0 kg and mg= 9.0 kg, which are connected by a rope that hangs over a pulley. The pulley is a uniform cylinder (I= ½ MR2) of radius R=0.25m and mass M=1.0 kg. Initially ma is at rest on the ground and mg is 2.5m above the ground. Determine: A. The linear acceleration of blocks mĄ and mg. B. The velocity of mg when it hits the ground. (Assume an acceleration of 2 m/s? if you didn't solve part A). C. The angular momentum of the pulley when mg hits the ground. (Assume a final velocity of 4 m/s if you didn't solve part B). (Hint: The tensions on the blocks are NOT equal).

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Chapter8: Rotational Motion
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Problem 103A
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Transcribed Image Text:MB 2.5 m MA
An Atwood machine consists of two masses, ma = 7.0 kg and mp= 9.0 kg, which are connected by a rope that hangs over a pulley. The pulley is a
uniform cylinder (I= 12 MR2) of radius Ro=0.25m and mass M=1.0 kg. Initially ma is at rest on the ground and mg is 2.5m above the ground. Determine:
A. The linear acceleration of blocks ma and mg.
B. The velocity of mp when it hits the ground. (Assume an acceleration of 2 m/s2 if you didn't solve part A).
C. The angular momentum of the pulley when mg hits the ground. (Assume a final velocity of 4 m/s if you didn't solve part B).
(Hint: The tensions on the blocks are NOT equal).
Transcribed Image Text:An Atwood machine consists of two masses, ma = 7.0 kg and mp= 9.0 kg, which are connected by a rope that hangs over a pulley. The pulley is a uniform cylinder (I= 12 MR2) of radius Ro=0.25m and mass M=1.0 kg. Initially ma is at rest on the ground and mg is 2.5m above the ground. Determine: A. The linear acceleration of blocks ma and mg. B. The velocity of mp when it hits the ground. (Assume an acceleration of 2 m/s2 if you didn't solve part A). C. The angular momentum of the pulley when mg hits the ground. (Assume a final velocity of 4 m/s if you didn't solve part B). (Hint: The tensions on the blocks are NOT equal).
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