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In Figure 1, the velocity of particle i can be expressed as

    Figure 1

    [1]

Using [3] of Linear Kinetics-Particle, one can express the momentum of the system as

    [2]

since, from [6] of Center of Mass-System of Particles,

    [3]

As shown in [2], the momentum of a system of particles is simply equal to that of its CM.

 

Young-Hoo Kwon, 1998-