AP and TS EAMCET Engineering 2020 Model Paper 2

A square plate of moment of inertia 'I' is pivoted at its centre .It has a small projection of neglegible mass to one of its sides.A particle of mass 'm' moving with a velocity v parallel to the side having pojection strikes to projection and stricks to it.If 'l ' is the side length ,the angular velocity of plate is