A 15.0 kgkg bucket of water is suspended by a very light rope wrapped around a solid uniform cylinder 0.300 mm in diameter with mass 11.0 kgkg. The cylinder pivots on a frictionless axle through its center. The bucket is released from rest at the top of a well and falls 10.7 mm to the water. While the bucket is falling, what is the force exerted on the cylinder by the axle?