The coefficient of friction between blocks is us = 0.4, at what angle will the block start sliding if it is initially at rest?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 123AP: Two blocks connected by a string are pulled across a horizontal surface by a force applied to one of...
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The coefficient of friction between blocks is us = 0.4, at what angle will the block start sliding if it is initially at rest?
Transcribed Image Text: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
2 F perpendicular =n - Fgperpendicular =
Thus, the normal force is
n = m
cos
On the axis parallel to the inclined, the net force is
2 FI| = 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)
Transcribed Image Text: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 2 FI| = 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)
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