A student sits on a freely rotating stool holding two dumbbells, each of mass 3.10 kg (see figure below). When his arms are extended horizontally (Fiqure a), the dumbbells are 0.99 m from the axis of rotation and the student rotates with an anqular speed of 0.749 rad/s. The moment of inertia of the student plus stool is 2.76 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). a (a) Find the new angular speed of the student. The words 'freely rotating stool' mean that there are no external torques applied. What is conserved in this case? rad/s (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. 2.352 What is the moment of inertia of two 3.10 kg dumbbells, each a distance 0.99 from the axis of rotation? J Kbefore = 5.891 arter You cannot assume that kinetic energy is conserved here, so you must calculate the final kinetic energy from your previous results. J
A student sits on a freely rotating stool holding two dumbbells, each of mass 3.10 kg (see figure below). When his arms are extended horizontally (Fiqure a), the dumbbells are 0.99 m from the axis of rotation and the student rotates with an anqular speed of 0.749 rad/s. The moment of inertia of the student plus stool is 2.76 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). a (a) Find the new angular speed of the student. The words 'freely rotating stool' mean that there are no external torques applied. What is conserved in this case? rad/s (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. 2.352 What is the moment of inertia of two 3.10 kg dumbbells, each a distance 0.99 from the axis of rotation? J Kbefore = 5.891 arter You cannot assume that kinetic energy is conserved here, so you must calculate the final kinetic energy from your previous results. 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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