Mechanics of particles and systems Rigid body and multibody dynamics Concept
Rigid body
Summary
A rigid body is an idealised solid body in which the distance between any two of its points never changes. Its position at each time is given by a rotation and a translation, that is, by an element of the Euclidean group. This needs six numbers in space and three in the plane. The model ignores deformation, and it is accurate when deformations are small compared with the motion. Rigid bodies are the basic objects of rigid body kinematics and dynamics.
Where this leads
21 pages build on this one.
- Mechanical equilibrium
- Nutation
- Plate tectonics
- Tennis racket theorem
- Lagrange top
- Earth's rotation
- Kovalevskaya top
- Painlevé paradox
- Euler top
- Chaplygin sleigh
- Goryachev–Chaplygin top
- Euler's equations of rigid body motion
- Polhode
- Precession
- Inertia tensor and principal axes
- Poinsot's ellipsoid
- Rigid body dynamics
- Multibody system
- Rolling without slipping
- Statics
- Euler free nutation
Further reading
About this page
| Tag | EZ9P9ERKNE |
|---|---|
| URI | m2://EZ9P9ERKNE |
| Kind | concept |
| Writing | W0 stub |
| MSC | 70E15, 70B10 |
| Same as | |
| Changed | 3 November 2026 |
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Used by
- Mechanical equilibrium
- Nutation
- Plate tectonics
- Earth's rotation
- Painlevé paradox
- Chaplygin sleigh
- Euler's equations of rigid body motion
- Precession
- Inertia tensor and principal axes
- Rigid body dynamics
- Multibody system
- Rolling without slipping
- Statics
- Euler free nutation