A post of weight w (in newton) and height h is placed vertically. One end of the post rests on a horizontal surface which has the coefficient of static friction µg. The upper end is attached to a rope fastened to the surface and making an angle of 0 with the post. A horizontal force F is applied at the distance y from the surface. Complete the following tasks. a) Draw a free body diagram of this situation. b) Write down the torques around the point where the rope is fastened to the ground. c) Write down the torques around the upper end of the post. d) Show that to slip can be expressed by maximum magnitude of a horizontal force F out causing the post y where a = h' F = - a a tane,

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter5: Newton's Law Of Motion
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g
h
F
y
A post of weight w (in newton) and height h is placed vertically. One end of the post rests
on a horizontal surface which has the coefficient of static friction ug. The upper end is
attached to a rope fastened to the surface and making an angle of 0 with the post. A
horizontal force F is applied at the distance y from the surface. Complete the following
tasks.
a) Draw a free body diagram of this situation.
b) Write down the torques around the point where the rope is fastened to the ground.
c)
ite down the torques around the upper end of the post.
d) Show that the maximum magnitude of a horizontal force F without causing the post
to slip can be expressed by
W
y
where a =-.
F =
- a
a
Us
tan0
Transcribed Image Text:g h F y A post of weight w (in newton) and height h is placed vertically. One end of the post rests on a horizontal surface which has the coefficient of static friction ug. The upper end is attached to a rope fastened to the surface and making an angle of 0 with the post. A horizontal force F is applied at the distance y from the surface. Complete the following tasks. a) Draw a free body diagram of this situation. b) Write down the torques around the point where the rope is fastened to the ground. c) ite down the torques around the upper end of the post. d) Show that the maximum magnitude of a horizontal force F without causing the post to slip can be expressed by W y where a =-. F = - a a Us tan0
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