A student sits on a freely rotating stool holding two weights, each of mass 5 kg

Question

A student sits on a freely rotating stool holding two weights, each of mass 5 kg. When his arms are extended horizontally, the weights are 1 m from the axis of rotation and he rotates with an angular speed of 0.75 rad/s. The moment of inertia of the student plus stool is 3 kg*m^2 and is assumed to be constant. The student pulls the weights inward horizontally to a position 0.3 m from the axis of rotation. What will happen? 1). The angular speed a. increases b. decreases c. does not change 2). The total moment of inertia a. increases b. decreases c. does not change 3). What is the basic law behind?

Explanation / Answer

3)By conservation of angular momentum; angular momentum remains constant 2) When the mass are brought closer to the axis the moment of inertia decreases. (b) 1) Hence the angular velocity will increase. (a)

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