A rod of mass `m` and length `l` hinged at the centre is placed on a horizontal surface. A bullet of mass `m` moving with velocity `v` strikes the end. A of the rod and gets embedded in it. The angular velocity with which the systems rotates about its centre of mass after the bullet strikes the rod

A circular hoop of mass m and radius R rests flat on a horizontal frictionless surface A bullet also of mass m and moving with a velocity v strikes the hoop and gets embedded in it the thickness of the hoop is much smaller then R the angular velocity with which the system rotates after the bullet strikes the hoop is

A circular wooden hoop of mass m and radius R rests fiat on a frictionless surface. A bullet, also of mass m and moving with a velocity v , strikes the hoop and gets embedded in it. The thickness of the hoop is much smaller than R . Find the angular velocity with which the system rotates in after the bullet strikes the hoop.

A circular wooden hoop of mass m and radius R rests fiat on a frictionless surface. A bullet, also of mass m and moving with a velocity v , strikes the hoop and gets embedded in it. The thickness of the hoop is much smaller than R . Find the angular velocity with which the system rotates in after the bullet strikes the hoop.

A bullet of mass m moving with velocity v strikes a block of mass M at rest and gets embedded into it. The kinetic energy of the composite block will be

A bullet of mass m moving with velocity v strikes a block of mass M at rest and gets embedded into it. The kinetic energy of the composite block will be

A uniform rod of mass m and length L is at rest on a smooth horizontal surface. A ball of mass m, moving with velocity v_0 , hits the rod perpendicularly at its one end and sticks to it. The angular velocity of rod after collision is