End \( A \) of the bar \( A B \) in figure rests on a frictionless horizontal surface and end \(...

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End \( A \) of the bar \( A B \) in figure rests on a frictionless horizontal surface and end \( B \) is hinged. \( A \) horizontal force \( \vec{F} \) of magnitude \( 120 \mathrm{~N} \) is exerted on \( A \). You can ignore the weight of the bar. What is the net force exerted by the bar on the hinge at \( B \) ?
(1) \( 200 \mathrm{~N} \)
(2) \( 140 \mathrm{~N} \)
(3) \( 100 \mathrm{~N} \)
(4) None of these
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