A 1.10-kg bucket is tied to a rope that is wrapped around a pole mounted horizontally on

Question:

A 1.10-kg bucket is tied to a rope that is wrapped around a pole mounted horizontally on frictionless bearings. The cylindrical pole has a diameter of 0.340 m and a mass of 2.60 kg. When the bucket is released from rest, how long will it take to fall to the bottom of the well, a distance of 17.0 m?