Breakdown of the connection between symmetries and conservation laws for semiholonomic systems
General Physics
2022-03-02 v1
Abstract
Integrable velocity-dependent constraints are said to be semiholonomic. For good reasons, holonomic and semiholonomic constraints are thought to be indistinguishable in Lagrangian mechanics. This well-founded belief notwithstanding, here we show by means of an example and a broad analysis that the connection between symmetries and conservation laws, which holds for holonomic systems, is not valid in general for systems subject to semiholonomic constraints.
Keywords
Cite
@article{arxiv.2111.06226,
title = {Breakdown of the connection between symmetries and conservation laws for semiholonomic systems},
author = {Nivaldo A. Lemos},
journal= {arXiv preprint arXiv:2111.06226},
year = {2022}
}
Comments
9 pages, 1 figure. Accepted by the American Journal of Physics