A student sits on a freely rotating stool holding two dumbbells, each of mass 3.09 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 0.97 m from the axis of rotation and the student rotates with an angular speed of 0.752 rad/s. The moment of inertia of the student plus stool is 2.66 kg · m2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.293 m from the rotation axis (Figure b). a) Find the new angular speed of the student in rad/s. b) Find the kinetic energy of the rotating system after he pulls the dumbbells inward in J.
A student sits on a freely rotating stool holding two dumbbells, each of mass 3.09 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 0.97 m from the axis of rotation and the student rotates with an angular speed of 0.752 rad/s. The moment of inertia of the student plus stool is 2.66 kg · m2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.293 m from the rotation axis (Figure b). a) Find the new angular speed of the student in rad/s. b) Find the kinetic energy of the rotating system after he pulls the dumbbells inward in J.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 56P: A student sits on a freely rotating stool holding two dumbbells, each of mass 3.00 kg (Fig. P10.56)....
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A student sits on a freely rotating stool holding two dumbbells, each of mass 3.09 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 0.97 m from the axis of rotation and the student rotates with an angular speed of 0.752 rad/s. The moment of inertia of the student plus stool is 2.66 kg · m2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.293 m from the rotation axis (Figure b).
a) Find the new angular speed of the student in rad/s.
b) Find the kinetic energy of the rotating system after he pulls the dumbbells inward in J.
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