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Consider a carousel rotating at angular velocity relative to an inertial frame fixed to the ground with origin O. There is a clown on the nonrotating wall (into whose
mouth you want to throw a brass ring) located at a vector position rC/O relative to O, the center of the carousel. You are on a horse fixed to the carousel (ignore its
up-and-down motion) at position rH/O. What is the velocity of the clown (rate of change of rC/H) relative to you (i.e., in the body frame of the carousel) in terms of

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