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A cylindrical rod of mass 0.82 kg and length 1.88 m is free to rotate about...

A cylindrical rod of mass 0.82 kg and length 1.88 m is free to rotate about a pivot fixed at one end. A ball (mass 3.2 kg) is attached to the other end of the rod. The rod-and- ball system is held in a horizontal position by a vertical force that acts 1.41 m from the pivot. The force is then removed, and the rod-and-ball swings down.

(a) (4 points) What was the vertical force used to hold the system horizontal?

(b) (5 points) What is the angular speed of the system at the instant the rod is verti- cally down (at the bottom of the swing)?

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