Generalized Forces

Generalized forces find use in Lagrangian mechanics, where they play a role conjugate to generalized coordinates. They are obtained from the applied forces, Fi, i=1,..., n, acting on a system that has its configuration defined in terms of generalized coordinates. In the formulation of virtual work, each generalized force is the coefficient of the variation of a generalized coordinate.

Read more about Generalized Forces:  Virtual Work, D'Alembert's Principle

Famous quotes containing the words generalized and/or forces:

    One is conscious of no brave and noble earnestness in it, of no generalized passion for intellectual and spiritual adventure, of no organized determination to think things out. What is there is a highly self-conscious and insipid correctness, a bloodless respectability submergence of matter in manner—in brief, what is there is the feeble, uninspiring quality of German painting and English music.
    —H.L. (Henry Lewis)

    Ah! how much a mother learns from her child! The constant protection of a helpless being forces us to so strict an alliance with virtue, that a woman never shows to full advantage except as a mother. Then alone can her character expand in the fulfillment of all life’s duties and the enjoyment of all its pleasures.
    HonorĂ© De Balzac (1799–1850)