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a 60 kg gymnast leaves the ground with angular momentum about his transverse axis of 15...

a 60 kg gymnast leaves the ground with angular momentum about his transverse axis of 15 kg m2/s. His radius of gyration about the transverse axis is 0.7 m at take-off. During his subsequent somersault, he reduces his radius of gyration to 0.4 m.
(a) What is the moment of inertia of the gymnast at take-off? During the somersault?
(b) What is the angular velocity of the gymnast at take-off? During the somersault?
(c) If it takes the gymnast 0.25 s to change from the take-off position to the somersaulting position, what is his average angular acceleration during this time?
(d) Is there a net torque acting on the gymnast during this time?

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