One end of a post weighing 400 Nand with height h rests on a roughhorizontal surface with ms = 0.30.The upper end is held by a ropefastened to the surface and makingan angle of 36.9° with the post. A horizontal force F isexerted on the post as shown. (a) Ifthe force F S is applied at the midpointof the post, what is the largest value it can have without causing the postto slip? (b) How large can the force be without causing the post to slip ifits point of application is 6/10 of the way from the ground to the top of thepost? (c) Show that if the point of application of the force is too high,the post cannot be made to slip, no matter how great the force. Find thecritical height for the point of application.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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One end of a post weighing 400 N
and with height h rests on a rough
horizontal surface with ms = 0.30.
The upper end is held by a rope
fastened to the surface and making
an angle of 36.9° with the post
. A horizontal force F is
exerted on the post as shown. (a) If
the force F S is applied at the midpoint
of the post, what is the largest value it can have without causing the post
to slip? (b) How large can the force be without causing the post to slip if
its point of application is 6/10 of the way from the ground to the top of the
post? (c) Show that if the point of application of the force is too high,
the post cannot be made to slip, no matter how great the force. Find the
critical height for the point of application.

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