Question: A student sits on a pivoted stool while holding a pair of weights in his outstretched arms. The stool is free to rotate about
A student sits on a pivoted stool while holding a pair of weights in his outstretched arms. The stool is free to rotate about a vertical axis with negligible friction. The moment of inertia of the student is I = 2.25 kg-m. The student is set in rotational motion with arms outstretched. You time the student's rotational period and find that they complete one revolution in 2.7. (a) What is the magnitude of the initial angular velocity of the system about the axis of rotation? (Answer in units of rad-s-) What is the magnitude of the angular momentum (L) of the system? As he rotates, he pulls his arms inward so that the new moment of inertia of the system is I=1.80 kg-m What is the new magnitude of the angular velocity of the system about the axis of rotation? Find the work done on the system by the student when pulling in the weights. (Ignore any energy loss from heat dissipation in the student's muscles.)
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