A solid ball is released from rest and slides down a hillside that slopes downward at π/3 rad from the horizontal. (a) What minimum value must the coefficient of static friction between the hill and ball surfaces have for no slipping to occur? (b) Would the coefficient of friction calculated in part (a) be sufficient to prevent a hollow ball (such as a soccer ball) from slipping? Mathematically justify your answer.
A solid ball is released from rest and slides down a hillside that slopes downward at π/3 rad from the horizontal. (a) What minimum value must the coefficient of static friction between the hill and ball surfaces have for no slipping to occur? (b) Would the coefficient of friction calculated in part (a) be sufficient to prevent a hollow ball (such as a soccer ball) from slipping? Mathematically justify your answer.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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A solid ball is released from rest and slides down a hillside that slopes downward at π/3 rad from the
horizontal. (a) What minimum value must the coefficient of static friction between the hill and ball
surfaces have for no slipping to occur? (b) Would the coefficient of friction calculated in part (a) be
sufficient to prevent a hollow ball (such as a soccer ball) from slipping? Mathematically justify your
answer.
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