D'Alembert's Form of The Principle of Virtual Work
The equations of motion for a mechanical system of rigid bodies can be determined using D'Alembert's form of the principle of virtual work. The principle of virtual work is used to study the static equilibrium of a system of rigid bodies, however by introducing acceleration terms in Newton's laws this approach is generalized to define dynamic equilibrium.
Read more about this topic: Rigid Body Dynamics
Famous quotes containing the words form, principle, virtual and/or work:
“Have you never been moved by poor mens fidelity, the image of you they form in their simple minds? Why should you always talk of their envy, without understanding that what they ask of you is not so much your worldly goods, as something very hard to define, which they themselves can put no name to; yet at times it consoles their loneliness; a dream of splendor, of magnificence, a tawdry dream, a poor mans dreamand yet God blesses it!”
—Georges Bernanos (18881948)
“The more the specific feelings of being under obligation range themselves under a supreme principle of human dependence the clearer and more fertile will be the realization of the concept, indispensable to all true culture, of service; from the service of God down to the simple social relationship as between employer and employee.”
—Johan Huizinga (18721945)
“Tragedy dramatizes human life as potentiality and fulfillment. Its virtual future, or Destiny, is therefore quite different from that created in comedy. Comic Destiny is Fortunewhat the world will bring, and the man will take or miss, encounter or escape; tragic Destiny is what the man brings, and the world will demand of him. That is his Fate.”
—Susanne K. Langer (18951985)
“On a huge hill,
Cragged, and steep, Truth stands, and he that will
Reach her, about must, and about must go;
And what the hills suddenness resists, win so;
Yet strive so, that before age, deaths twilight,
Thy Soul rest, for none can work in that night.
To will, implies delay, therefore now do:
Hard deeds, the bodys pains; hard knowledge too
The minds endeavours reach, and mysteries
Are like the Sun, dazzling, yet plain to all eyes.”
—John Donne (15721631)