Problem A block of mass m is placed on a rough surface inclined relative to the horizontal. The incline angle is increased until the block start to move. Show that you can obtain the coefficient of static friction Us by measuring the critical angle e where slipping occurs. Solution Just before slipping, we say that the block is still at rest, so the net force on the x-axis is: EFx=mg Evaluating, we get: = mg But the frictional force is expressed as the product of coefficient and the normal force so. = mg For an inclined plane. The nomal force is n=mg Then, Hs=mg cos(e) so: tan(e)
Problem A block of mass m is placed on a rough surface inclined relative to the horizontal. The incline angle is increased until the block start to move. Show that you can obtain the coefficient of static friction Us by measuring the critical angle e where slipping occurs. Solution Just before slipping, we say that the block is still at rest, so the net force on the x-axis is: EFx=mg Evaluating, we get: = mg But the frictional force is expressed as the product of coefficient and the normal force so. = mg For an inclined plane. The nomal force is n=mg Then, Hs=mg cos(e) so: tan(e)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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