Two small bals A and B, each of mass m, are joined rigidlyl by a light horizontal rol of lengh L. The rod is clasmped at the centre in such a way that it c an rotate freely about a verticl axis through its centre. The systemis rotated with an angualr speed `omega` about the axis. A particle P of masss m kept at rest sticks to the ball A as the ball collides with it. Find the new angular speed of the rod.

Two small balls A and B each of mass m, are joined rigidly to the ends of a light rod of length L figure. The system translates on a frictionless horizontal surface with a velocity v_0 in a direction perpendicular to the rod. A particle P of mass kept at rest on the surface sticks to the ball A as the ball collides with it . Find a. the linear speeds of the balls A and B after the collision, b. the velocity of the centre of mass C of the system A+B+P and c. the angular speed of the system about C after the collision.

Two small balls A and B each of mass m, are joined rigidly to the ends of a light rod of length L figure. The system translates on a frictionless horizontal surface with a velocity v_0 in a direction perpendicular to the rod. A particle P of mass kept at rest on the surface sticks to the ball A as the ball collides with it . Find a. the linear speeds of the balls A and B after the collision, b. the velocity of the centre of mass C of the system A+B+P and c. the angular speed of the system about C after the collision.

Suppose the rod with the balls A and B of theprevious problem is clamped at the centre in such a way that it ca rotate freely about a horizontal axis through the clamp. The system is kept at rest in the horizontal position. A particle P of the same mass m is dropped from a heigh h hon the ball B. The particle collides with B and sticks to it. a. Find the angular momentum and the angular speed of the system just after the collision. b. What should be the minimum value of h so that the system makes a full rotation after the collision.

Suppose the rod with the balls A and B of theprevious problem is clamped at the centre in such a way that it ca rotate freely about a horizontal axis through the clamp. The system is kept at rest in the horizontal position. A particle P of the same mass m is dropped from a heigh h hon the ball B. The particle collides with B and sticks to it. a. Find the angular momentum and the angular speed of the system just after the collision. b. What should be the minimum value of h so that the system makes a full rotation after the collision.

Two small balls A and B each of mass m, are attched erighdly to the ends of a light rod of length d. The structure rotates about the perpendicular bisector of the rod at an angular speed omega . Calculate the angular momentum of the individual balls and of the system about the axis of rotation.

Two particles each of mass m and charge q are attached to the two ends of a light rigid rod of length 2R. The rod is rotated at constant angular speed about a perpendicular axis passing through its centre. The ratio of the magnitudes of the magnetic moment of the system and its angular momentum about the centre of the rod is

Two particles , each of mass m and charge q , are attached to the two ends of a light rigid rod of length 2 R . The rod is rotated at constant angular speed about a perpendicular axis passing through its centre. The ratio of the magnitudes of the magnetic moment of the system and its angular momentum about the centre of the rod is