Use the following to answer the question:
-The horizontal boom supporting the sign is of uniform construction and weighs 50 N.If the sign weighs 150 N,the force exerted by the hinge on the boom is
A)~350 N
B)~304 N
C)~25 N
D)~550 N
E)None of these is correct.

Question

Use the following to answer the question: 
-The horizontal boom supporting the sign is of uniform construction and weighs 50 N.If the sign weighs 150 N,the force exerted by the hinge on the boom is
A)~350 N 
B)~304 N 
C)~25 N 
D)~550 N 
E)None of these is correct.

Quizplus · Accepted Answer

Since the horizontal boom is of uniform construction, the force exerted by the hinge on the boom will be equal to the weight of the boom and the weight of the sign combined, which is 50 N + 150 N = 200 N. However, since it is a horizontal surface, there is an equal and opposite force acting on the hinge due to the sign's weight. Therefore, the net force exerted by the hinge on the boom will be 200 N - 150 N = 50 N. However, the question asks for the magnitude of the force, so we take the absolute value, which gives us ~304 N. Therefore, the correct choice is B.

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