S.T. the time rate of the total angular momentum of a system of particles about a point is equal to the sum of the external torques acting on the system taken about the same point.

Prove that the rate of change of total angular momentum of a system of particles is equal to the total torque acting on the system.

The rate of change of angular momentum of a system of particles about the centre of mass is equal to the sum of external torque about the centre of mass when the centre of mass is :

Find the total torque acting on the body shown in the figure about the point O .

Total linear momentum of a system of particles is equal to ……………..of the system and velocity of ……… .

Calculate the total torque acting on the body shown in figure about the point O.

Calculate the total torque acting on the body shown in figure about the point O

Show that the total linear momentum of a system of particles is conserved in the absence of any external force. Also show that total linear momentum of the system is equal to the product of the total mass of the system and the velocity of its centre of mass.

Angular momentum of a particle about the origin O is equal to the vector product of its ______ vector and _______vector.

Prove that the rate of change of angular momentum is equal to torque acting on the particle