2) A bucket of water is suspended at the end of a rope wrapped around a pulley. The pulley is pivoted on a frictionless axle passing through its center. The axle is attached to the ceiling. The bucket is released from rest and falls a distance of H. The inertia of the pulley is I = ½ MR?. M R a. On the diagram above, show all the forces applied on the bucket and pulley. b. Determine the linear acceleration of the bucket. c. Determine the angular acceleration, a of the pulley. m d. Determine the tension force in the rope. e. Determine the speed of the bucket at the end of distance H. f. Determine the force exerted on the pulley by the axle.

2) A bucket of water is suspended at the end of a rope wrapped around a pulley. The pulley is pivoted on a frictionless axle passing through its center. The axle is attached to the ceiling. The bucket is released from rest and falls a distance of H. The inertia of the pulley is I = ½ MR?. M R a. On the diagram above, show all the forces applied on the bucket and pulley. b. Determine the linear acceleration of the bucket. c. Determine the angular acceleration, a of the pulley. m d. Determine the tension force in the rope. e. Determine the speed of the bucket at the end of distance H. f. Determine the force exerted on the pulley by the axle.