Mechatronic Systems Engineering 2213A/B Lecture Notes - Lecture 13: Momentum, Rings Of Saturn

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Expressing the velocity in terms of the centroidal reference frame: Kinetic energy is equal to kinetic energy of mass center plus kinetic energy relative to the centroidal frame. Principle of work and energy can be applied to each particle pi : where u1 2 represents the work done by the internal forces fij and the resultant external force fi acting on pi. Principle of work and energy can be applied to the entire system by adding the kinetic energies of all particles and consider ing the work done by all external and internal forces. Although fij and fji are equal and opposite, the work of these forces will not, in general, cancel out. If the forces acting on the particles are conservative, the work is equal to the change in potential energy and t1+v1=t2. +v2 which expresses the principle of conservation of energy for the system of particles.

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