The circular concrete culvert rolls with an angular velocity ofw = 0.42 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 = 3.3 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. (1) 4 ft 0.5 ft

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Chapter10: Fixed-axis Rotation
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The circular concrete culvert rolls with an angular velocity ofw = 0.42 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 = 3.3 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.
@
4 ft
O
0.5 ft
Transcribed Image Text:The circular concrete culvert rolls with an angular velocity ofw = 0.42 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 = 3.3 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. @ 4 ft O 0.5 ft
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