A thin rod of mass m has an angular velocity 0 while rotating on a smooth

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A thin rod of mass m has an angular velocity ω0 while rotating on a smooth surface. Determine its new angular velocity just after its end strikes and hooks onto the peg and the rod starts to rotate about P without rebounding. Solve the problem 

(a) Using the parameters given, 

(b) Setting m = 2 kg, ω0 = 4 rad/s, ∫ = 1.5 m.

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