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

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).

Question

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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