A 160-lb gymnast is executing a series of full-circle swings on the horizontal bar. He has a small and negligible clockwise angular velocity and will maintain his body straight (at an overall distance of 7 feet by the center of gravity at 3.5 feet) and rigid as he swings downward. Assuming that through the swing the centroidal radius of gyration of his body is 1.5 feet; establish his angular velocity and the force exerted on his hands after he has rotated through:
a) 90 degrees
b) 180 degrees