Question

state and Prove the law
of conservation of angular momentum

Answer 1

hope this may help uh.....

Answer 2

Heya..!!

In coordinate-free vector notation for the angular momentum of a point particle ⃗ L = m ⃗ r × ˙ ⃗ r . L→=mr→×r→˙. Here, ⃗ r r→ is the position vector with respect to an (arbitrary) fixed point. Taking the time derivative you get from Newton's Equation of motion ˙ ⃗ L = m ˙ ⃗ r × ˙ ⃗ r + m ⃗ r × ¨ ⃗ r = ⃗ r × ⃗ F = ⃗ τ . L→˙=mr→˙×r→˙+mr→×r→¨=r→×F→=τ→. Here, ⃗ τ τ→ is the torque of the total force on the particle measured with 

now according to the law of conservation of angular momentum L should remain the same, there is no way for mass to change therefore v→ should increase, to keep the angular momentum constant, this is the proof for conservation of angular momentum.


Hope it helps u