A student sits on a pivoted stool while holding a pair of weights. (See Figure)

Question

A student sits on a pivoted stool while holding a pair of weights. (See Figure) The stool is free to rotate about a vertical axis with negligible friction. The moment of inertia of student, weights, and stool is 2.25 kg · m2. The student is set in rotation with arms outstretched, making one complete turn every 1.26 s, arms outstretched.

Question If the student suddenly releases the weights, how does his own angular momentum, rotational kinetic energy, and angular speed change? (Select all that apply.)

His rotational angular speed decreases.
His rotational angular speed remains the same.
His angular momentum remains the same.
His rotational kinetic energy remains the same.
His angular momentum increases.
His angular momentum decreases.
His rotational angular speed increases.
His rotational kinetic energy increases.
His rotational kinetic energy decreases.

Explanation / Answer

Conservation of angular Momentum and cinservation of Energy: His angular momentum remains the same. His rotational angular speed increases.

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