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Q.

In the shown figure wedge of mass M has a semicircular groove of radius R. A particle of mass m is released from A. It slides on the smooth circular track and starts climing on the right face. If M = 2m, find the velocity of the wedge at θ = 600.

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a

gR19

b

gR10

c

gR38

d

2gR27

answer is C.

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Detailed Solution

Conserving momentum in the horizontal directionmucos600−v−Mv = 0  ⇒ v = mu2M+m = u6 Conserving energy,12mu2+12mv2 = mgRcos600 ⇒ 12m6v2+12.2m.v2 = mgR2 ⇒ v = gR38
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