question_answer

A thin uniform bar of length \[L\] and mass \[8m\]lies on a smooth horizontal table. Two point masses \[m\] and \[2m\] moving in the same horizontal plane from opposite sides of the bar with speeds \[2v\] and \[v\] respectively. The masses stick to the bar after collision at a distance \[\frac{L}{3}\] and \[\frac{L}{6}\] respectively from the centre of the bar. If the bar starts rotating about its centre of mass as a result of collision, the angular speed of the bar will be:

[JEE Online 15-04-2018 (II)]

A)   \[\frac{v}{6L}\]          

B)        \[\frac{6v}{5L}\]

C)   \[\frac{3v}{5L}\]                     

D)        \[\frac{v}{5L}\]