Question

Show that angular momentum of particle under Central force is conserved

Answer 1

https://physics.stackexchange.com/questions/29737/proving-angular-momentum-is-conserved-for-a-particle-moving-in-a-central-force-f

Answer 2

Answer:

In the absence of torque the angular momentum of a particle remains constant. this is the principle of conservation of angular momentum.

Now a central force always directed towards or away from a fixed point. As such it can't have a moment about this point, thus any particle moving under the action of a central force will have not any torque acting upon it and hence it's angular momentum about a centre of force remain constant.

Explanation:

for mathematical proof go to the picture above.