D'Alembert's Principle
D'Alembert formulated the dynamics of a particle as the equilibrium of the applied forces with an inertia force (apparent force), called D'Alembert's principle. The inertia force of a particle, Pi, of mass mi is
where Ai is the acceleration of the particle.
If the configuration of the particle system depends on the generalized coordinates qj, j=1,...,m, then the generalized inertia force is given by
D'Alembert's form of the principle of virtual work yields
Read more about this topic: Generalized Forces
Famous quotes containing the word principle:
“Custom, then, is the great guide of human life. It is that principle alone, which renders our experience useful to us, and makes us expect, for the future, a similar train of events with those which have appeared in the past.”
—David Hume (1711–1776)