12.77. Model: The hoop is a rigid body rotating about an axle at the edge of the hoop. The gravitational torque on the hoop causes it to rotate, transforming the gravitational potential energy of the hoop’s center of mass into rotational kinetic energy. Visualize:We placed the origin of the coordinate system at the hoop’s edge on the axle. In the initial position, the center of mass is a distance Rabove the origin, but it is a distance Rbelow the origin in the final position.
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