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
velocity of body = 2Lg sinθ
b
Centripetal acceleration = 2g cosθ
c
velocity of body = Lg cosθ
d
Centripetal acceleration = 2g sinθ
answer is B.
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Detailed Solution
Loss in Potential energy = Gain in Kinetic Energy⇒MgLcosθ=12Mv2⇒v=2gLcosθ Centripetal acceleration =v2L=2gLcosθL=2gcosθ