Abstract
For systems with holonomic constraints, the dependent coordinates can be eliminated by introducing generalized coordinates. If the constraints are nonholonomic, this approach does not work. There is no general method for treating nonholonomic problems. Only for those special nonholonomic constraints that can be given in differential form can one eliminate the dependent equations by the method of Lagrange multipliers.
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© 2010 Springer-Verlag Berlin Heidelberg
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Greiner, W. (2010). Lagrange Equation for Nonholonomic Constraints. In: Classical Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03434-3_16
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DOI: https://doi.org/10.1007/978-3-642-03434-3_16
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03433-6
Online ISBN: 978-3-642-03434-3
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