A uniform stick of mass `M` and length `L` is kept vertical on a frictionless horizontal floor. If the stick is allowed to fall, then mark the correct alternatives

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.

When a stick of length L mass M intially upright on a fricitionless floor starts falling the

When a stick of length L mass M intially upright on a fricitionless floor starts falling the

A uniform stick of mass m and length l with I=1/12 ml^(2) spins around on a frictionless horizontal plane, with its CM stationary A mass M is placed on the plane, and the stick collides elastically with it, as shown (with the contact point being the end of the stick) What should be the ratio of m//M be so that after the collision the stick has translational motion but no rotational motion?

A uniform rod of mass M and length L lies on a frictionless horizontal plane. A particle of same mass M moving with speed v_(0) perpendicular to the length of the rod strikes the end of the rod and sticks to it. Find the velocity of the center of mass and the angular velocity about the center of mass of (rod + particle) system.

A uniform rod of length l is held vertically on a horizontal floor fixing its lower end, the rod is allowed to fall onto the ground. Find (i) its angular velocity at that instant of reaching the ground (ii) The linear velocity with which the tip of rod falls to floor.