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?

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 111AP: A crate of mass 100.0 kg rests on a rough surface inclined at an angle of 37.0with the horizontal. A...
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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?
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
Substituting the forces, we get the following
mg
smg
By simplifying we get the following:
tan(theta) = mug
Thus, the angle that the object will slide is:
(rounded of to the ones)
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 Substituting the forces, we get the following mg smg By simplifying we get the following: tan(theta) = mug Thus, the angle that the object will slide is: (rounded of to the ones)
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