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 = m cos 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)
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 = m
cos
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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