A pulley is used to lower a bucket on a rope into a well. The pulley is a solid disk, has a mass of 12 kg, and a radius of 0.25 m. The mass of the bucket is 3 kg. Assume the rope is massless and the pulley can rotate without friction. a) What is the magnitude of the torque that the bucket on the rope applies to the disk- shaped pulley? b) If the bucket starts from rest, is released, and allowed to fall, how fast will the pulley be rotating after 4 seconds? c) What is the speed of the bucket after falling for 4 seconds? d) How many rotations did the disk-shaped pulley go through during the 4 seconds of falling?

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Chapter1: Units, Trigonometry. And Vectors
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m
A pulley is used to lower a bucket on a rope into a well. The pulley is a solid disk, has a mass
of 12 kg, and a radius of 0.25 m. The mass of the bucket is 3 kg. Assume the rope is
massless and the pulley can rotate without friction.
a) What is the magnitude of the torque that the bucket on the rope applies to the disk-
shaped pulley?
b) If the bucket starts from rest, is released, and allowed to fall, how fast will the pulley be
rotating after 4 seconds?
c) What is the speed of the bucket after falling for 4 seconds?
d)
How many rotations did the disk-shaped pulley go through during the 4 seconds of
falling?
Transcribed Image Text:R m A pulley is used to lower a bucket on a rope into a well. The pulley is a solid disk, has a mass of 12 kg, and a radius of 0.25 m. The mass of the bucket is 3 kg. Assume the rope is massless and the pulley can rotate without friction. a) What is the magnitude of the torque that the bucket on the rope applies to the disk- shaped pulley? b) If the bucket starts from rest, is released, and allowed to fall, how fast will the pulley be rotating after 4 seconds? c) What is the speed of the bucket after falling for 4 seconds? d) How many rotations did the disk-shaped pulley go through during the 4 seconds of falling?
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