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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020 Number 1, Pages 48–55 (Mi vmumm4302)

This article is cited in 1 paper

Mechanics

Dynamics of Chaplygin sleigh on a horizontal plane with friction

A. Yu. Shamin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The equations of motion of the Chaplygin sleigh on a horizontal plane with friction are obtained in this paper. A geometric interpretation of the continuous motion is presented; it is proved that the movement of the sleigh stops in a finite time.

Key words: Chaplygin sleigh, dry friction.

UDC: 532.591, 531.5.031

Received: 25.07.2018


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2020, 75:1, 13–20

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© Steklov Math. Inst. of RAS, 2026