Hexagonal Pencil Rolling on an Inclined Plane

    2008, Volume 13, Number 4, pp.  332-343

    Author(s): McDonald K. T.

    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
    Citation: McDonald K. T., Hexagonal Pencil Rolling on an Inclined Plane, Regular and Chaotic Dynamics, 2008, Volume 13, Number 4, pp. 332-343

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