Kinetic Energy
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Using [8] of Linear Kinetics-Particle, one can express the kinetic energy of a system of particles as

    [1]

where

    [2]

As shown in [1], the kinetic energy of a system of particles has two terms: the kinetic energy of the CM (T shown in [1]) and the sum of the relative kinetic energies of the particles to the CM (T'). T' is due to the relative motions of the particles to the CM of the system. This equation will be revisited in the Rigid Body Dynamics section.

Young-Hoo Kwon, 1998-