This article is cited in 7 papers

Dynamics of a body sliding on a rough plane and supported at three points

Alexey V. Borisov^a, Ivan S. Mamaev^b, Nadezhda N. Erdakova<sup>b

a</sup> Moscow Institute of Physics and Technology, Dolgoprudnyi, Russia
^b Udmurt State University, Izhevsk, Russia

Abstract: This paper is concerned with the problem of a rigid body (tripod) moving with three points in contact with a horizontal plane under the action of dry friction forces. It is shown that the regime of asymptotic motion (final dynamics) of the tripod can be pure rotation, pure sliding, or sliding and rotation can cease simultaneously, which is determined by the position of the tripod's supports relative to the radius of inertia. In addition, the dependence of the trajectory of the center of mass on the system parameters is investigated. A comparison is made with the well-known theoretical and experimental studies on the motion of bodies with a flat base.

Keywords: dry friction, linear pressure distribution, planar motion, Coulomb's law, asymptotic motion, dynamics, tripod.

MSC: 70F40, 70E18

Received: 30.11.2016
Revised: 19.12.2016

Language: English

DOI: 10.2298/TAM161130013B

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