A rod of mass m and length l is kept on a surface that has no friction. If a ball comes & hits the lower end with a velocity v, then the velocity of centre of mass 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

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 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 uniform thin rod of mass m and length l is standing on a smooth horizontal surface. A slight disturbance causes the lower end to slip on the smooth surface and the rod starts falling. Find the velocity of centre of mass of the rod at the instant when it makes an angle theta with horizontal.

A uniform thin rod of mass m and length l is standing on a smooth horizontal suface. A slight disturbance causes the lower end to slip on the smooth surface and the rod starts falling. Find the velocity of centre of mass of the rod at the instant when it makes an angle theta with horizontal.

A uniform thin rod of mass m and length l is standing on a smooth horizontal suface. A slight disturbance causes the lower end to slip on the smooth surface and the rod starts falling. Find the velocity of centre of mass of the rod at the instant when it makes an angle theta with horizontal.

A rod of mass M and length L is kept on a frictionless horizontal floor. A particle of mass m moving perpendicular to the rod with a speed v strikes at the end of the rod and sticks there. Calculate angular velocity acquired by the combined system.