A uniform sphere of mass m and radius R rolls without slipping down a plane at an angle θ from the horizontal. 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 satisfy the conditions of the problem?
A uniform sphere of mass m and radius R rolls without slipping down a plane at an angle θ from the horizontal. 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 satisfy the conditions of the problem?
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter11: Angular Momentum
Section: Chapter Questions
Problem 33P: A hollow cylinder that is rolling without slipping is given a velocity of 5.0 m/s and rolls up an...
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A uniform sphere of mass m and radius R rolls without slipping down a plane at an angle θ from the
horizontal. Show that the acceleration along the slope of the center of mass is aCM = (5/7)g sin θ and that the
the conditions of the problem?
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