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A thin rod of mass 0.9 kg and length 1 m is suspended, at rest, from one end so that it can freely oscillate in the vertical plane. A particle of mass 0.1 kg moving in a straight line with velocity 80 m/s hits the rod at is bottom most point and sticks to it (see figure) . The angular speed ( in rad/s) of the rod immediately after the collision will be .

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