Prove that if two particles are moving along parallel directions with equal and opposite momentum, their total angular momentum about any point remains constant.

Two particles, each of mass mand speed v, travel in opposite directions along parallel lines separated by a distance d. Show that the vector angular momentum of the two particle system is the same whatever be the point about which the angular momentum is taken.

Derive the expression for angular momentum of a particle in two dimensions for in a plane).

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

A particle moving along a straight line reverses its direction of motion once. What can we say about the nature of its acceleration?

The question given below consist of an assertion (A) and a reason ( R). Use the following key to choose the appropriate answer to these questions from the codes (a), (b), ( c) and (d) given below: (a) Both A and R are true and R is the correct explanation of A. (b) Both A and R are true but R is NOT the correct explanation of A. (c) A is true but R is false. (d) A is false and R is also false. Assertion: When a charged particle moves in a circular path in a perpendicular magnetic field, the momentum of the charged particle remains constant. Reason: Velocity of the charged particle remains constant.

Prove that the time rate of change of the angular momentum of a particle is equal to the torque acting on it.

A particle of mass m is moving in yz-plane with a uniform velocit v with its trajectory running paralel to + ve y-axis and intersecting z-axis at z = a show in the figure. The change in its angular momentum about the origin as it bounces elastically from a wal at y = constant is

A particle moving along a straight line path reverses its direction of motion twice. What can we say about the nature of its acceleration?