Definition of Principle of virtual velocities. Meaning of Principle of virtual velocities. Synonyms of Principle of virtual velocities

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Definition of Principle of virtual velocities

Principle of virtual velocities
Virtual Vir"tu*al (?; 135), a. [Cf. F. virtuel. See Virtue.] 1. Having the power of acting or of invisible efficacy without the agency of the material or sensible part; potential; energizing. Heat and cold have a virtual transition, without communication of substance. --Bacon. Every kind that lives, Fomented by his virtual power, and warmed. --Milton. 2. Being in essence or effect, not in fact; as, the virtual presence of a man in his agent or substitute. A thing has a virtual existence when it has all the conditions necessary to its actual existence. --Fleming. To mask by slight differences in the manners a virtual identity in the substance. --De Quincey. Principle of virtual velocities (Mech.), the law that when several forces are in equilibrium, the algebraic sum of their virtual moments is equal to zero. Virtual focus (Opt.), the point from which rays, having been rendered divergent by reflection of refraction, appear to issue; the point at which converging rays would meet if not reflected or refracted before they reach it. Virtual image. (Optics) See under Image. Virtual moment (of a force) (Mech.), the product of the intensity of the force multiplied by the virtual velocity of its point of application; -- sometimes called virtual work. Virtual velocity (Mech.), a minute hypothetical displacement, assumed in analysis to facilitate the investigation of statical problems. With respect to any given force of a number of forces holding a material system in equilibrium, it is the projection, upon the direction of the force, of a line joining its point of application with a new position of that point indefinitely near to the first, to which the point is conceived to have been moved, without disturbing the equilibrium of the system, or the connections of its parts with each other. Strictly speaking, it is not a velocity but a length. Virtual work. (Mech.) See Virtual moment, above.

Meaning of Principle of virtual velocities from wikipedia

- mechanics, virtual work arises in the application of the principle of least action to the study of forces and movement of a mechanical system. The work of a force...
- extension of the principle of virtual work from static to dynamical systems. d'Alembert separates the total forces acting on a system to forces of inertia...
- principle of inertia" as described by Newton in his first law of motion: an object not subject to any net external force moves at a constant velocity...
- in which velocities depend on the choice of reference frame. If an object A is moving with velocity vector v and an object B with velocity vector w,...
- discusses the history of the principle of least action. For the application, please refer to action (physics). The principle of least action – or, more...
- positions to velocities (within the rigid body), it can be regarded as a constant vector field. In particular, the spin angular velocity is a Killing...
- In the application of the principle of virtual work it is often convenient to obtain virtual displacements from the velocities of the system. For the...
- instantaneous power. Just as velocities may be integrated over time to obtain a total distance, by the fundamental theorem of calculus, the total work along...
- body. The virtual work of forces acting at various points on a single rigid body can be calculated using the velocities of their point of application...
- of that spring unchanged. By Einstein's equivalence principle, if there was one such observer A and another observer B moving in a constant velocity related...
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