A metal plate which is square in shape of side length has a groove made in the shape of two quarter circles joining at the centre of the plate. The plate is free to rotate about vertical axis passing through its centre. The moment of inertia of the plate about this axis is A particle of mass enters the groove at end travelling with a velocity of parallel to the side of the square plate. The particle move along the frictionless groove of the horizontal plate and comes out at the other end with speed Find the magnitude of (in ) assuming that width of the groove is negligible.
Important Questions on Rigid Body Dynamics: Part 2
Auniform thin stick of mass and length rotates on a frictionless horizontal plane, with its centre of mass stationary. A particle of mass is placed on the plane at a distance from the centre of the stick. This stick hits the particle elastically. Find the value of so that after the collision, there is no rotational motion of the stick.
