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Q.

An isolated smooth ring of mass  M=2m with two small beads each of mass m is as shown in the figure. Initilly the beads are at diametrically opposite points and have velocity v0 each in same direction. The speed of the beads just before they collide for the first time is (complete system is placed on a smooth horizontal surface and assume each point of ring is touching the surface)

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a

32v0

b

v02

c

23v0

d

v0

answer is D.

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Detailed Solution

mv0+mv0 = 4mvy vy=v02 12mv20×2 = 12×4mvy2+12mvx2×2 vx=v20-2v024 = v02 v = v024+v022 = 3v02

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