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Constraints and Lagrangian Coordinates

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Classical Mechanics

Part of the book series: Cornerstones ((COR))

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Abstract

Constraints are limitations imposed on thegeometrical or kinematic configuration of a mechanical system. For example, in a rigid motion any two points are required to beat constant mutual distance. This is a rigidity constraint. A system with one of its points constrained on a surface is an example of a constrained mechanical system. Assume that a point P moves, being constrained to a surface \(\mathcal{S}\subset {\mathbb{R}}^{3}\).

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Correspondence to Emmanuele DiBenedetto .

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© 2011 Springer Science+Business Media, LLC

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DiBenedetto, E. (2011). Constraints and Lagrangian Coordinates. In: Classical Mechanics. Cornerstones. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4648-6_2

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