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A student sits on a freely rotating stool holding two dumbbells, each of mass 2.96 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 0.93 m from the axis of rotation and the student rotates with an angular speed of 0.743 rad/s. The moment of inertia of the student plus stool is 2.53 kg - m² and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.308 m from the rotation axis (Figure b). wƒ b (a) Find the new angular speed of the student. rad/s (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. Kbefore Kafter =

A student sits on a freely rotating stool holding two dumbbells, each of mass 2.96 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 0.93 m from the axis of rotation and the student rotates with an angular speed of 0.743 rad/s. The moment of inertia of the student plus stool is 2.53 kg - m² and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.308 m from the rotation axis (Figure b). wƒ b (a) Find the new angular speed of the student. rad/s (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. Kbefore Kafter =

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A student sits on a freely rotating stool holding two dumbbells, each of mass 2.96 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 0.93 m from the axis of rotation and the student rotates with an angular speed of 0.743 rad/s. The moment of inertia of the student plus stool is 2.53 kg. m² and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.308 m from the rotation axis (Figure b). Wi a E b (a) Find the new angular speed of the student. rad/s (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. Kbefore = K = after J
Transcribed Image Text:A student sits on a freely rotating stool holding two dumbbells, each of mass 2.96 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 0.93 m from the axis of rotation and the student rotates with an angular speed of 0.743 rad/s. The moment of inertia of the student plus stool is 2.53 kg. m² and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.308 m from the rotation axis (Figure b). Wi a E b (a) Find the new angular speed of the student. rad/s (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. Kbefore = K = after J
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