### Translational Kinetic Energy

The translational kinetic energy of a collection of masses is given by

where is the total mass, and denotes the speed of the center-of-mass. We have , where is the velocity of the center of mass.

More generally, the total energy of a collection of masses (including distributed and/or rigidly interconnected point-masses) can be expressed as the sum of the translational and rotational kinetic energies [270, p. 98].

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