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Q.

A uniform rod of mass 2 kg and length 1 m lies on a smooth horizonal plane. A particle of mass 1 kg moving at a speed of 2 m/s perpendicular to the length of the rod strikes it at a distance of 0.25 m from the centre and stops. What is the angular velocity of the rod about its centre just after the collision?

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a

4 rad/s

b

3 rad/s

c

1 rad/s

d

2 rad/s

answer is A.

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Detailed Solution

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Li=Lf about centre of mass of the rod mvr=Ml212.ωω=12mvrMl2=1212.0.25212rad/s ω=3rad/s

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