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:
“A certain secret jealousy of the British Minister is always lurking in the breast of every American Senator, if he is truly democratic; for democracy, rightly understood, is the government of the people, by the people, for the benefit of Senators, and there is always a danger that the British Minister may not understand this political principle as he should.”
—Henry Brooks Adams (1838–1918)