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Just after a motorcycle rides off the end of a ramp and launches into the air, its engine is turning counterclockwise at 7740 rev/min. The motorcycle rider forgets to throttle back, so the engine's angular speed increases to 12700 rev/min. As a result, the rest of the motorcycle (including the rider) begins to rotate clockwise about the engine at 3.80 rev/min. Calculate the ratio IE/IM of the moment of inertia of the engine to the moment of inertia of the rest of the motorcycle (and the rider). Ignore torques due to gravity and air resistance.
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