A bucket of water of mass 20.0 kg is suspended by a rope wrapped around a windlass in the form of a solid cylinder 0.20 m in diameter, also of mass 20.0 kg. The cylinder is pivoted on a frictionless axle through its center. The bucket is released from rest at the top of a well and falls 20.0 m to the water. Neglect the weight of the rope.

What is the tension in the rope while the bucket is falling?

T=65.33 N

Explanation:

Given

mass of bucket with water is

Diameter of cylinder

mass of cylinder

bucket has fall a distance of

Net force on bucket

Consider downward direction to be positive

Tension(T) will provide torque to the cylinder

where

Substitute the value of T in

Substitute the value of a in Tension equation

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