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A free gyroscope is in a state of slow, steady precession at a nutation angle of 53.13° and a spin rate at 10 000 rev/min. The rotor's mass is 5 kg, its radii of gyration about its pivot are κ = 100 mm, κ' = 180 mm, and its center of mass is 120 mm from the pivot. A person accidentally touches the outer gimbal, thereby causing the precession rate to decrease suddenly by 0.6 rad/s. Determine whether the ensuing motion is unidirectional, looping, cuspidial, or steady precession. What are the maximum and minimum nutation angles in that motion?

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