A uniform rectangular plate of mass m which is free to rotate about the smooth vertical hinge passing through the centre and perpendicular to the plate, is lying on a smooth horizontal surface. A particle of mass m moving with speed 'u' collides with the plate and sticks to it as shown in figure. The angular velocity of the plate after collision will be :

Text Solution
Verified by ExpertsThe correct answer is:
D
Conserving the angular momentum :
mua = 
⇒ ω =

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