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A light rod of length L having a body of mass M attached to its end hangs vertically. It is turned through 90° so that it is horizontal and then released.Choose correct statement when the rod makes an angle θ with the vertical

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a

centripetal force = Mgcosθ

b

Tension in rod = 2Mgcosθ

c

centripetal force = 3Mgcosθ

d

Tension in rod = 3Mgcosθ

answer is D.

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Detailed Solution

The centripetal force when the body is at B is Fc=Mv2L=M2gLcosθ2L=2MgcosθNow, T-Mgcosθ=Mv2L⇒T-Mgcosθ=ML×2gLcosθ=2Mgcosθ⇒T=3Mgcosθ

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