virtual displacement

physics

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July 14, 2026

Quick Summary

Virtual displacement refers to an infinitesimal change in a mechanical system's position that adheres to the system's constraints. It's a hypothetical movement, not necessarily one that actually occurs, but one that is compatible with the system's limitations.1

In mechanics, displacement itself is the distance a particle or body moves in a specific direction. It's a vector quantity, meaning it has both magnitude and direction. The distance traveled can differ from the displacement if the path taken is not a straight line.2

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mechanics
The principle of virtual work
…of virtual work, any infinitesimal virtual displacement in configuration space, consistent with the constraints, requires no work. A virtual displacement means an instantaneous change in coordinates (a real displacement would require finite time during which particles might move and forces might change). To express the principle, label the generalized coordinates…
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…of virtual work, any infinitesimal virtual displacement in configuration space, consistent with the constraints, requires no work. A virtual displacement means an instantaneous change in coordinates (a real displacement would require finite time during which particles might move and forces might change). To express the principle, label the generalized coordinates…
Read More