Physics, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134020853
Author: James S. Walker
Publisher: PEARSON
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Textbook Question
Chapter 6, Problem 43PCE
Predict/Calculate (a) Find the magnitude of the acceleration of the two blocks in Figure 6 (a) Assume the top block slides without friction on the horizontal surface. (b) If the 12-N block in Figure 6-56 (a) is replaced with a 12-N force pulling downward as in Figure 6-56 (b), is the acceleration of the sliding block greater than, less than, or equal to the acceleration calculated in part (a)? Explain. (c) Calculate the acceleration of the block in Figure 6-56 (b), assuming it slides without friction.
Figure 6-56
Problem 43
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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
perpendicular =n- Fgperpendicular=
Thus, the normal force is
n = m
cos
On the axis parallel to the inclined, the net force is
2 FI| = 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
2 F perpendicular =n- Fgperpendicular
Thus, the normal force is
cos|
n = m
On the axis parallel to the inclined, the net force is
E F- Fell-s.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 = 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)
Chapter 6 Solutions
Physics, Books a la Carte Edition (5th Edition)
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