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

Shubham Kumar Gupta Ggps , 7 Years ago
Grade 12
anser 1 Answers
Arun

Last Activity: 4 Years ago

The plate is free to rotate about vertical axis yy'. Let v, vcm and ω be the velocity of particle, velocity of centre of mass of plate and angular velocity of plate just after collision. ∴ From conservation of angular momentum about vertical axis passing though O is since the collision is elastic, the equation of coefficient of restitution is solving equation (1), (2) and (3) we get
 
w = 5 ead/sec

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