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Angular Momentum of a System of Particles The total angular momentum of a system of particles about some point is the vector sum of the angular momenta of the individual particles L ï½ L1 ï« L2 ï« ...... ï« Ln ï½ ï¥ L Since the individual angular momentum can change, the total angular momentum of the system can change. Both internal and external forces can provide torque to individual particles. However, the internal forces do not generate net torque due to Newtonâs third law. Letâs consider a two particle system where the two exert forces on each other. Since these forces are action and reaction forces with directions lie on the line connecting the two particles, the vector sum of the torque from these two becomes 0. Thus the time rate change of the angular momentum of a system of particles is equal to the net external torque acting on the system Mar. 27, 2002 1443-501 Spring 2002 Dr. J. Yu, Lecture #15 ï¥ï´ ext dL ï½ dt 11