56. If an object is to rest on an incline without slipping, then friction must equal the component of the weight of the object parallel to the incline. This requires greater and greater friction for steeper slopes. Show that the maximum angle of an incline above the horizontal for which an object will not slide down is e = tan-1 µs. You may use the result of O and the previous problem. Assume that a = 0 and that static friction has reached its maximum value.

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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56. If an object is to rest on an incline without
slipping, then friction must equal the component of
the weight of the object parallel to the incline. This
requires greater and greater friction for steeper
slopes. Show that the maximum angle of an incline
above the horizontal for which an object will not
slide down is e = tan-1 µs. You may use the result of
the previous problem. Assume that a = 0 and that
%3D
static friction has reached its maximum value.
Transcribed Image Text:56. If an object is to rest on an incline without slipping, then friction must equal the component of the weight of the object parallel to the incline. This requires greater and greater friction for steeper slopes. Show that the maximum angle of an incline above the horizontal for which an object will not slide down is e = tan-1 µs. You may use the result of the previous problem. Assume that a = 0 and that %3D static friction has reached its maximum value.
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