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Linear Momentum, Angular Momentum and Analytical Mechanics

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Abstract

The laws of mechanics can be set forth in different equivalent formulations. Frequently, one formulation can be deduced from another. For example, Lagrange's equations can be deduced both from Newton's law and from Hamilton's principle. One task never undertaken to date is that of deducing the principles of linear and angular momentum from a formulation of analytical mechanics. This task is undertaken in the present note in connection with simple nonholonomic systems.

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Reference

  1. Kane, T.R. and Levison, D.A., Dynamics: Theory and Applications, McGraw-Hill, New York, 1985.

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Djerassi, S. Linear Momentum, Angular Momentum and Analytical Mechanics. Multibody System Dynamics 1, 425–431 (1997). https://doi.org/10.1023/A:1009770626849

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  • DOI: https://doi.org/10.1023/A:1009770626849

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