In the figure shown, the cart of mass 6m is initially at rest. A particle of mass m is attached to the end of the light rod which can rotate freely about A. If the rod is released from rest in a horizontal position shown, determine the velocity vrel of the particle with respect to the cart when the rod is vertical.

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143gl

76gl

73gl

83gl

answer is C.

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Detailed Solution

When the rod becomes verticalmv1=6mv2⇒v1=6v2 ........(i)12mv12+126mv22=mgl ........(ii)Solve (i) and (ii) to getvrel=v1+v2=73gl

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