This article is cited in 5 papers

A Rigid Body on a Surface with Random Roughness

Daniil Burlakov^a, Dmitry Treschev<sup>b

a</sup> Lomonosov Moscow State University, Vorob’evy gory, Moscow, 119899 Russia
^b Steklov Mathematical Institute, Russian Academy of Sciences, Gubkina 8, Moscow, 119991 Russia

Abstract: Consider an interval on a horizontal line with random roughness. With probability one it is supported at two points: one on the left, and another on the right from its center. We compute the probability distribution of the support points provided the roughness is fine grained. We also solve an analogous problem where a circle or a disk lies on a rough plane. Some applications in static are given.

Keywords: rigid body, support with random roughness.

MSC: 47N30, 70C20

Received: 10.04.2014
Accepted: 23.04.2014

Language: English

DOI: 10.1134/S1560354714030034

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