Question

$\large\red{\bf{Question}}$

Consider a uniform square plate (mass = 1 kg, side length / = 1 m) which is tied to a uniform rod of same mass and same length 1. Whole rigid body can rotate in a vertical plane about an axis parallel to the top edge of the plate as shown. A particle of mass m = 1 kg moving with velocity v, collide perpendicularly to the centre of plate. If collision is perfectly inelastic and particle sticks to plate after collision, then find value of v, so that after collision centre of mass of the system just reaches the level of the hinge.​

Answer 1

ANSWER:

lz = Ma^2 /2

Using parallel axis theorem

l0 = ma ^2 +m× a^2/2 = 2/3 ma^2

HOPE IT HELPS YOU.

IT CAN BE RELATED TO YOUR QUESTION.

@EVYAAN