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

Angular momentum is :

Show that the rate of change of angular momentum is proportional to the extrnal torque.

Show that the total linear momentum of a system of particles is equal to the product of the total mass of the system and the velocity of its centre of mass.

What do you mean by angular momentum.

What do you mean by angular momentum?

The rate of change of total momentum of a many-particle system is proportional to the external force/sum of the internal forces on the system.

Find the components along the xyz axes of the angular momentum I of a particle, whose position vector is r with components x_2 y_3 z and momentum is p with components px, py and pz. Show that if the particle moves only in the x-y plane the angular momentum has only a z-componenTt.

If the rate of change of area bounded by circle is equal to the rate of change of its radius, find the radius of the circle.

what is law of conservation of angular momentum .

Two particles, each of mass m and speed v_3 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.