Difference between revisions of "Barycentre"
From Encyclopedia of Mathematics
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| − | The centre of mass (or centre of gravity) of a set of points. | + | The centre of mass (or centre of gravity) of a set of points. In the dynamics of a rigid body, the forces acting may be resolved into those displacing the body as a whole, which may be considered as acting at the centre of mass, and rotational forces. For example, a rigid body moves under the influence of gravity as if its mass were concentrated at the barycentre. Geometrically, the barycentre is at the [[centroid]] of the body. |
See [[Barycentric coordinates]]. | See [[Barycentric coordinates]]. | ||
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| + | ====References==== | ||
| + | * Woodhouse, N.M.J. ''Introduction to analytical dynamics'' Clarendon Press (1987) {{ISBN|0-19-853198-2}} {{ZBL|0608.70001}} | ||
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| + | {{TEX|done}} | ||
Latest revision as of 20:44, 5 December 2023
The centre of mass (or centre of gravity) of a set of points. In the dynamics of a rigid body, the forces acting may be resolved into those displacing the body as a whole, which may be considered as acting at the centre of mass, and rotational forces. For example, a rigid body moves under the influence of gravity as if its mass were concentrated at the barycentre. Geometrically, the barycentre is at the centroid of the body.
References
- Woodhouse, N.M.J. Introduction to analytical dynamics Clarendon Press (1987) ISBN 0-19-853198-2 Zbl 0608.70001
How to Cite This Entry:
Barycentre. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Barycentre&oldid=37560
Barycentre. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Barycentre&oldid=37560