A uniform square plate of mass m = 100g and side a = 24cm can rotate about a smooth vertical axis passing through one edge. It is initially at rest. A particle of mass m = 100g is moving horizontally and perpendicular to the plane of the plate with velocityu = 70cm / s . It collides with the plate elastically at the centre of the plate. Find the angular velocity (in rad / s) of the plate just after collision.

Question

A uniform square plate of mass m = 100g and side a = 24cm can rotate about a smooth vertical axis passing through one edge. It is initially at rest. A particle of mass m = 100g is moving horizontally and perpendicular to the plane of the plate with velocityu =  70cm / s . It collides with the plate elastically at the centre of the plate. Find the angular velocity (in rad / s) of the plate just after collision.

Examsnet · Accepted Answer

Correct Answer is : ω = 127 ua

JEE Advanced Model Paper 9 with solutions for online practice