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Solution: A 3.0kg bucket is attached to a disk-shaped pulley (I = MR  ...

Question

A 3.0kg bucket is attached to a disk-shaped pulley (I = MR  2/2) of radius 12.0 cm and mass 60kg. Suppose the bucket is allowed to fall.

a) Find the linear acceleration a of the bucket.

b) Find the angular acceleration ω of the pulley.

c) How far does the bucket drop in 3.0 s (starting from rest)?

d) What is the tension T in the rope?