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Regular and Chaotic Dynamics, 2008, Volume 13, Issue 4, Pages 332–343
DOI: https://doi.org/10.1134/S1560354708040072 (Mi rcd581) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Nonholonomic mechanics

Hexagonal Pencil Rolling on an Inclined Plane

K. McDonald

Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544, U.S.A.
Citations (4)
DOI: https://doi.org/10.1134/S1560354708040072
Abstract: An everyday example of a nonholonomic mechanical system is a pencil rolling on an inclined plane. Aspects of the motion are discussed in various approximations, of which the most realistic assumes rolling without sliding and that a constant fraction of the pencil’s kinetic energy is retained after each collision with the plane.
Keywords: pencil rolling.
Received: 06.11.2007
Accepted: 28.01.2008
Bibliographic databases:
Document Type: Personalia
MSC: 37J15, 37J25, 70E18, 70H03, 70H33
Language: English
Citation: K. McDonald, “Hexagonal Pencil Rolling on an Inclined Plane”, Regul. Chaotic Dyn., 13:4 (2008), 332–343
Citation in format AMSBIB
\Bibitem{Mcd08}
\by K.~McDonald
\paper Hexagonal Pencil Rolling on an Inclined Plane
\jour Regul. Chaotic Dyn.
\yr 2008
\vol 13
\issue 4
\pages 332--343
\mathnet{http://mi.mathnet.ru/rcd581}
\crossref{https://doi.org/10.1134/S1560354708040072}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2456926}
\zmath{https://zbmath.org/?q=an:1229.70017}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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