A string is wrapped around a disk of mass m = 2.4 kg and radius R = 0.12 m. Starting from rest, you pull the string with a constant force F = 6 N along a nearly frictionless surface. At the instant when the center of the disk has moved a distance x = 0.16 m, your hand has moved a distance of d = 0.32 m. m = F d (a) At this instant, what is the speed of the center of mass of the disk? m/s Vcm (b) At this instant, how much rotational kinetic energy does the disk have relative to its center of mass? Krot = J

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
Section: Chapter Questions
Problem 78P: Review. A string is wound around a uniform disk of radius R and mass M. The disk is released from...
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A string is wrapped around a disk of mass m = 2.4 kg and radius R = 0.12 m. Starting from rest, you pull the string with a
constant force F = 6 N along a nearly frictionless surface. At the instant when the center of the disk has moved a distance x
= 0.16 m, your hand has moved a distance of d = 0.32 m.
=
m
X
=
F
d
(a) At this instant, what is the speed of the center of mass of the disk?
Vcm
m/s
F
(b) At this instant, how much rotational kinetic energy does the disk have relative to its center of mass?
Krot
J
Transcribed Image Text:A string is wrapped around a disk of mass m = 2.4 kg and radius R = 0.12 m. Starting from rest, you pull the string with a constant force F = 6 N along a nearly frictionless surface. At the instant when the center of the disk has moved a distance x = 0.16 m, your hand has moved a distance of d = 0.32 m. = m X = F d (a) At this instant, what is the speed of the center of mass of the disk? Vcm m/s F (b) At this instant, how much rotational kinetic energy does the disk have relative to its center of mass? Krot J
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