Hamel's paradox and the foundations of analytical dynamics

Firdaus E. Udwadia; Thanapat Wanichanon

doi:10.1016/j.amc.2010.02.033

Hamel's paradox and the foundations of analytical dynamics

Firdaus E. Udwadia
, Thanapat Wanichanon

University of Southern California

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

This paper deals with an explanation of a paradox posed by Hamel in his 1949 book on Theoretical Mechanics. The explanation deals with the foundations of mechanics and points to new insights into analytical dynamics.

Original language	English
Pages (from-to)	1253-1265
Number of pages	13
Journal	Applied Mathematics and Computation
Volume	217
Issue number	3
DOIs	https://doi.org/10.1016/j.amc.2010.02.033
Publication status	Published - 1 Oct 2010
Externally published	Yes

Keywords

Constrained motions
Equations of motion
Hamel's paradox
Holonomic constraints
Nonholonomic constraints

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10.1016/j.amc.2010.02.033

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abstract = "This paper deals with an explanation of a paradox posed by Hamel in his 1949 book on Theoretical Mechanics. The explanation deals with the foundations of mechanics and points to new insights into analytical dynamics.",

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KW - Hamel's paradox

KW - Holonomic constraints

KW - Nonholonomic constraints

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Hamel's paradox and the foundations of analytical dynamics

Abstract

Keywords

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