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Question

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 vrelof the particle with respect to the cart when the rod is vertical.



A

  

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B

  

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C

  

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D

  

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Solution

The correct option is D

  


When the rod becomes vertical

mv1 = 6mv2v1 = 6v2          .........(i)

12 mv21 + 126mv22 = mgl   .........(ii)

Solve (i) and (ii) to get Vrel = v1 + v2 = 73gl   


Physics

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