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
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“Why does philosophy use concepts and why does faith use symbols if both try to express the same ultimate? The answer, of course, is that the relation to the ultimate is not the same in each case. The philosophical relation is in principle a detached description of the basic structure in which the ultimate manifests itself. The relation of faith is in principle an involved expression of concern about the meaning of the ultimate for the faithful.”
—Paul Tillich (1886–1965)