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Question

End A of the bar AB figure rests on a frictionless horizontal surface and end B is hinged. A horizontal force F 120N is exerted at end A. You can ignore the weight of the bar. What is the net force exerted by the bar in the hinge at B?
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A
200N
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B
140N
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C
100N
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D
none of these
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Solution

The correct option is A 200N
Let the angle between bar and surface be θ.
sinθ=45
cosθ=35
Force acts horizontally. The force experienced along the rbar=Fcosθ=12035=200N
This force is exerted by bar on the hinge.

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