Work done by a force to move a particle along a virtual displacement
This article is about the principle in mechanics. For the work arrangement, see remote work.
Part of a series on
Classical mechanics
Second law of motion
History
Timeline
Textbooks
Branches
Applied
Celestial
Continuum
Dynamics
Kinematics
Kinetics
Statics
Statistical mechanics
Fundamentals
Acceleration
Angular momentum
Couple
D'Alembert's principle
Energy
kinetic
potential
Force
Frame of reference
Inertial frame of reference
Impulse
Inertia / Moment of inertia
Mass
Mechanical power
Mechanical work
Moment
Momentum
Space
Speed
Time
Torque
Velocity
Virtual work
Formulations
Newton's laws of motion
Analytical mechanics
Lagrangian mechanics
Hamiltonian mechanics
Routhian mechanics
Hamilton–Jacobi equation
Appell's equation of motion
Koopman–von Neumann mechanics
Core topics
Damping
Displacement
Equations of motion
Euler's laws of motion
Fictitious force
Friction
Harmonic oscillator
Inertial / Non-inertial reference frame
Mechanics of planar particle motion
Motion (linear)
Newton's law of universal gravitation
Newton's laws of motion
Relative velocity
Rigid body
dynamics
Euler's equations
Simple harmonic motion
Vibration
Rotation
Circular motion
Rotating reference frame
Centripetal force
Centrifugal force
reactive
Coriolis force
Pendulum
Tangential speed
Rotational frequency
Angular acceleration / displacement / frequency / velocity
Scientists
Kepler
Galileo
Huygens
Newton
Horrocks
Halley
Maupertuis
Daniel Bernoulli
Johann Bernoulli
Euler
d'Alembert
Clairaut
Lagrange
Laplace
Poisson
Hamilton
Jacobi
Cauchy
Routh
Liouville
Appell
Gibbs
Koopman
von Neumann
Physics portal
Category
v
t
e
In 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 acting on a particle as it moves along a displacement is different for different displacements. Among all the possible displacements that a particle may follow, called virtual displacements, one will minimize the action. This displacement is therefore the displacement followed by the particle according to the principle of least action.
The work of a force on a particle along a virtual displacement is known as the virtual work.
Historically, virtual work and the associated calculus of variations were formulated to analyze systems of rigid bodies,[1] but they have also been developed for the study of the mechanics of deformable bodies.[2]
^C. Lánczos, The Variational Principles of Mechanics, 4th Ed., General Publishing Co., Canada, 1970
^Dym, C. L. and I. H. Shames, Solid Mechanics: A Variational Approach, McGraw-Hill, 1973.
mechanics, virtualwork 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...
A virtual team (also known as a geographically dispersed team, distributed team, or remote team) usually refers to a group of individuals who work together...
more traditional approach via the virtualwork principle or the minimum total potential energy principle. The virtualwork principle approach is more general...
meet and work side-by-side. Virtual team Virtual workplace "Interview: Marcus Moufarrige, COO Servcorp, on Pioneering Virtual Offices | AllWork.Space"....
the static analysis of a lever is an application of the principle of virtualwork. A lever is modeled as a rigid bar connected to a ground frame by a hinged...
that the virtualwork of the applied forces is zero for any virtual displacement of the system. This is known as the principle of virtualwork. This is...
configuration defined in terms of generalized coordinates. In the formulation of virtualwork, each generalized force is the coefficient of the variation of a generalized...
principle of virtualwork states that if a system is in static equilibrium, the virtualwork of the applied forces is zero for all virtual movements of...
ratio of its output torque to its input torque. Using the principle of virtualwork, the gear train's torque ratio is equal to the gear ratio, or speed ratio...
conferencing. In the 1990s and 2000s, remote work became facilitated by technology such as collaborative software, virtual private networks, conference calling...
Virtual reality (VR) is a simulated experience that employs 3D near-eye displays and pose tracking to give the user an immersive feel of a virtual world...
expected to bring ideas and knowledge from school into the company. Work research, virtual research (graduation) or dissertation: This is mostly done by students...
computing, virtualization or virtualisation in British English (sometimes abbreviated v12n, a numeronym) is the act of creating a virtual (rather than...
problems. The principle asserts for N particles the virtualwork, i.e. the work along a virtual displacement, δrk, is zero: ∑ k = 1 N ( N k + C k − m...
Virtual Villagers is a series of village simulator video games created and developed by Last Day of Work, an independent video game developer and publisher...
A virtual private network (VPN) is a mechanism for creating a secure connection between a computing device and a computer network, or between two networks...
In entertainment, a virtual band (also called a virtual idol, virtual singer, virtual group, cartoon group, cartoon idol, cartoon singer or cartoon band)...
A virtual environment is a networked application that allows a user to interact with both the computing environment and the work of other users. Email...
"Virtual Insanity" is a song by British funk and acid jazz band Jamiroquai, released on 19 August 1996 as the second single from their third studio album...
Oracle VM VirtualBox (formerly Sun VirtualBox, Sun xVM VirtualBox and InnoTek VirtualBox) is a hosted hypervisor for x86 virtualization developed by Oracle...
The Virtual Boy is a 32-bit tabletop portable video game console developed and manufactured by Nintendo. Released in 1995, it was marketed as the first...
In computing, virtual memory, or virtual storage, is a memory management technique that provides an "idealized abstraction of the storage resources that...
A virtual community is a social work of individuals who connect through specific social media, potentially crossing geographical and political boundaries...
A virtual economy (or sometimes synthetic economy) is an emergent economy existing in a virtual world, usually exchanging virtual goods in the context...
often. However, recent research has extended this effect to virtual communication. This work suggests that the more someone communicates virtually with...
Virtual hosting is a method for hosting multiple domain names (with separate handling of each name) on a single server (or pool of servers). This allows...