Abstract
The equations of motion of the Chaplygin sleigh on a horizontal plane with friction are obtained. A geometric interpretation of the continuous motion is given. It is proved that the motion of the sleigh stops in a finite time. Some properties of the motion process are discussed.
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References
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Acknowledgments
This work was supported by the Russian Foundation for Basic Research (project no. 19-01-00140).
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Russian Text © The Author(s), 2020, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2020, Vol. 75, No. 1, pp. 48–55.
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Shamin, A.Y. Dynamics of the Chaplygin Sleigh on a Horizontal Plane with Friction. Moscow Univ. Mech. Bull. 75, 13–20 (2020). https://doi.org/10.3103/S0027133020010033
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DOI: https://doi.org/10.3103/S0027133020010033