Angular Impulse-Momentum Principle

 

Angular impulse-momentum principle for a system of particles

 

The total angular momentum of a system of particles is simply the sum of the momenta of the individual particles.

 

∫∑M_O dt = ∑(r_i,2 x mv_i,2) - ∑(r_i,1 x mv_i,1)

 

Conservation of angular momentum

 

Angular momentum of a particle or a system of particles is conserved when the angular impulse is zero over a specified interval of time.

 

∑(r_i,2 x mv_i,2) = ∑(r_i,1 x mv_i,1)