Solution: 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?

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?