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Question

A semi circular wire of mass m is hinged at its top on a vertical wall. What is the horizontal force exerted by the wall on the lower end.
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A
mg
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B
6mgπ
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C
4mgπ
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D
none of these
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Solution

The correct option is D none of these
correct option is (D) As we know;
Wire is in equilibrium so,τnet=0
Centre of mass of semi-circular wire is 2Rπ where gravitational force acts.

Hence,
mg×2Rπ=N×2Rmg/π=N

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