Generalized Forces - D'Alembert's Principle

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:

    Well, you Yankees and your holy principle about savin’ the Union. You’re plunderin’ pirates that’s what. Well, you think there’s no Confederate army where you’re goin’. You think our boys are asleep down here. Well, they’ll catch up to you and they’ll cut you to pieces you, you nameless, fatherless scum. I wish I could be there to see it.
    John Lee Mahin (1902–1984)