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?
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
Section: Chapter Questions
Problem 60P
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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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