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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… Click to show full abstract
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 always valid for systems subject to semiholonomic constraints.
Keywords:
conservation laws;
symmetries conservation;
connection symmetries;
breakdown connection;
laws semiholonomic
Journal Title: American Journal of Physics
Year Published: 2022
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Journal Title: American Journal of Physics
Year Published: 2022
Link to full text (if available)
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recommendations!