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Question 8-24 from Statics by Hibbeler 14th ed

Image for *8-24. The uniform thin pole has length of 26 ft. If it is placed against the the rough floor in the position

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Answer #1

if the system is in equilibrium, the net torque is zero.

0 = 30(5) - N(24)

N = 6.25 lb

If the system is in equilibrium, the net force exerted on

system along the x-axis is zero.

0 = 6.25 - FA

FA = 6.25 lb

If the system is in equilibrium, the net force exerted on

system along the y-axis is zero.

0 = NA - 30

NA = 30 lb

Hence, the maximum force FA,max is,

FA,max = usNA = (0.3)(30 lb) = 9 lb

This value is greater than 6.25 lb.

Yes, the pole is at stationary.

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