A robot arm is lifting a large body. The mass of the body is 4.66 slugs, its radius of gyration is .6667 ft and its center of mass is indicated. The mass of the compound arm is 2.33 slugs its radius of gyration is 3.5 ft and its center of mass is indicated. The body has an angular velocity of .35 rad/s. A motor applies a moment at point A. How much work must the motor do to stop the body when the arm is at 90 degrees to the horizontal? Assume the body does not rotate around its center of gravity.