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Q.

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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a

143gl

b

76gl

c

73gl

d

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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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.