Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 10, Problem 52SP

A solid uniform homogeneous disk of radius r is rolling along a flat horizontal surface at a speed υ. Show that its total kinetic energy is given by KE = mυ2.

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A uniform sphere of mass m and radius R rolls without slipping down a plane at an angle θ from thehorizontal. Show that the acceleration along the slope of the center of mass is aCM = (5/7)g sin θ and that the force of static friction needed is fs = (2/7)mg sin θ. What minimum coefcient of friction µs is needed to satisfythe conditions of the problem?
The disk, which has a mass of 27 kg, is subjected to the couple moment of M = (1.7θ + 4.5) N m, where θ is in radians. If it starts from rest, determine its angular velocity when it has made 2 (two) revolutions.
Prove that the moment of inertia of a solid sphere of uniform density, when rotating around a diameter,is 2MR2/5, where M is the mass of the sphere and R is the radius.Hint: integrate the infinitesimal volume element in spherical coordinates.

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Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)

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