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On the conditions for the existence of the reducing chaplygin factor

Authors
Journal
Journal of Applied Mathematics and Mechanics
0021-8928
Publisher
Elsevier
Publication Date
Volume
49
Issue
3
Identifiers
DOI: 10.1016/0021-8928(85)90026-7

Abstract

Abstract The problem of the existence of a reducing Chaplygin factor (RCF) for non-holonomic systems with k degrees of freedom is discussed. By introducing additional coordinates, a class of non-holonomic systems for which the RCF method is applicable in a widened configuration space is distinguished. For comparison, the corresponding conditions in quasicoordinates are given. The existence of an RCF for one of the equivalent non-holonomic systems is studied.

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