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

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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 angular 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
b
(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?
= 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
Kbefore
Transcribed Image Text: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 angular 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 b (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? = 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 Kbefore
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