ProblemThe coefficient of friction between blocks is us = 0.4, at what angle will the block start sliding if it is initially at rest?1,toSolutionLet us obtain the net force in the axis perpendicular to the inclined plane.By virtue of the first law of motion (equilibrium), the net force isΣΕperpendicular = n - Fgperpendicular =Thus, the normal force isn = mcosOn the axis parallel to the inclined, the net force is2 F = Fgll - fs,max =Substituting the forces, we get the following:mgsmgBy simplifying, we get the following:tan(theta) = musThus, the angle that the object will slide is:(rounded of to the ones)

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Problem The coefficient of friction between blocks is us = 0.4, at what angle will the block start sliding if it is initially at rest? to Solution Let us obtain the net force in the axis perpendicular to the inclined plane. By virtue of the first law of motion (equilibrium), the net force is 2 F perpendicular = n - Fgperpendicular = Thus, the normal force is n= m cos On the axis parallel to the inclined, the net force is E F = Fgll - fs,max = Substituting the forces, we get the following: mg smg By simplifying, we get the following: tan(theta) = mus Thus, the angle that the object will slide is: (rounded of to the ones)

Problem The coefficient of friction between blocks is us = 0.4, at what angle will the block start sliding if it is initially at rest? to Solution Let us obtain the net force in the axis perpendicular to the inclined plane. By virtue of the first law of motion (equilibrium), the net force is 2 F perpendicular = n - Fgperpendicular = Thus, the normal force is n= m cos On the axis parallel to the inclined, the net force is E F = Fgll - fs,max = Substituting the forces, we get the following: mg smg By simplifying, we get the following: tan(theta) = mus Thus, the angle that the object will slide is: (rounded of to the ones)

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

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 1P

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Problem The coefficient of friction between blocks is us = 0.4, at what angle will the block start sliding if it is initially at rest? Solution Let us obtain the net force in the axis perpendicular to the inclined plane. By virtue of the first law of motion (equilibrium), the net force is begin inline style sum from blank to blank of end styleF perpendicular = n - Fgperpendicular = Thus, the normal force is n = mcos On the axis parallel to the inclined, the net force is begin inline style sum from blank to blank of end styleF|| = Fg|| - fs,max = Substituting the forces, we get the following: mg - smg = By simplifying, we get the following: tan(theta) = mus Thus, the angle that the object will slide is: (rounded of to the ones)
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