Question

A bucket hands over a well by a rope. The rope is wrapped around a winch (a wheel) which can be treated as a disk with a mass of 5.72 kg and a radius of 0.225m. The bucket itself weights 2.15kg and starts 11.6m from the surface of the water. The rope does not slip on the winch, and we can neglect any friction and air resistance.

b. Use Newton's second law to find the linear acceleration of the bucket as it falls and the angular acceleration of the winch as it splits.

c. what is the tension in the rope as the bucket falls?

d. If the bucket starts from rest, how long does it take to reach the water?

e. How many times does the winch spin before the bucket hits the water?

Answer 1