The circular concrete culvert rolls with an angular velocity of ω = 0.5 rad/s when the man...

The circular concrete culvert rolls with an angular velocity of ω = 0.5 rad/s when the man is at the position shown. At this instant the center of gravity of the culvert and the man is located at point G, and the radius of gyration about G is kG = 3.5 ft. Determine the angular acceleration of the culvert. The combined weight of the culvert and the man is 500 lb. Assume that the culvert rolls without slipping, and the man does not move within the culvert.