Show that the acceleration of any object down an incline where friction behaves simply (that is, where fk = µkN ) is a = g(sinθ − µkcosθ). Note that the acceleration is independent of mass and reduces to the expression found in the previous problem when friction becomes negligibly small (µk = 0).

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
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 7CQ
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Show that the acceleration of any object down an incline where friction behaves simply (that is, where fk = µkN ) is a = g(sinθ − µkcosθ). Note that the acceleration is independent of mass and reduces to the expression found in the previous problem when friction becomes negligibly small (µk = 0).

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