Rotational MotionHard

Question

A thin rod of mass m and length l is hinged to a ceiling and it is free to rotate in a vertical plane. A particle of mass m, moving with speed v strikes it as shown in the figure and gets stick with the rod. The value of v , for which the rod becomes horizontal after collision is
                                          

Options

A.The value of v, for which rod becomes horizontal after collision is
B.The value of v, for which rod becomes horizontal after collision is
C.Angular momentum of (rod + particle) system will remain constant about hinge just before and after collision
D.Angular momentum of (rod + particle) system will remain same about centre of mass just before and after collision

Solution

......(i)
...(ii) from equation (i) and (ii) v =

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