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Just after a motorcycle rides off the end of a ramp and launches into the air, i

ID: 2181207 • Letter: J

Question

Just after a motorcycle rides off the end of a ramp and launches into the air, its engine is turning counterclockwise at 7020 rev/min. The motorcycle rider forgets to throttle back, so the engine's angular speed increases to 13200 rev/min. As a result, the rest of the motorcycle (including the rider) begins to rotate clockwise about the engine at 3.90 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.

Explanation / Answer

Angular momentum remains constant Ie * 7020 = Ie * 13200 - Im*3.9 Ie/Im = 6.3*10^-4