2010
DOI: 10.1088/0143-0807/32/1/023
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Coupled rolling motion: considering rolling friction in non-holonomic mechanics

Abstract: This paper enlarges an undergraduate student project in non-holonomic mechanics (Janová et al 2009 Eur. J. Phys. 30 1257–69) by considering rolling friction. In the original problem of coupled rolling motion, the agreement of theory and experiment was demonstrated for the initial part of motion with rolling friction being neglected. As expected, the reality is that rolling friction plays a decisive role during the whole experiment. Extending the correspondence of the model to reality by considering rolling fri… Show more

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Cited by 2 publications
(2 citation statements)
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“…[21]; for instructive nonholonomic mechanical problems see e.g. [13], [16], [14]). The mathematical concept of nonholonomic dynamics had been kept essentially unchanged until 30 years ago when a new dynamics of velocity constrained mechanics system was introduced by Kozlov [22].…”
Section: Appendixmentioning
confidence: 99%
See 1 more Smart Citation
“…[21]; for instructive nonholonomic mechanical problems see e.g. [13], [16], [14]). The mathematical concept of nonholonomic dynamics had been kept essentially unchanged until 30 years ago when a new dynamics of velocity constrained mechanics system was introduced by Kozlov [22].…”
Section: Appendixmentioning
confidence: 99%
“…Since the constraint is linear in velocities and the model itself is physically motivated, we will treat the constrained system (5)- (7) in a way common in mechanics-we will use the nonholonomic approach (see e.g. [15] or [16]). Thus, the dynamical equations for our constrained system take the form…”
Section: Two Interacting Economiesmentioning
confidence: 99%