 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13217 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8152
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| In English (Mech. Solids): | | 5065 |
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| << Previous article | Volume 60, Issue 3 / 2025 | Next article >> |
| E.A. Nikonova, "Barycentric Coordinates in the Equilibrium Problem of a Heavy Rough Triangle Suspended on a Pin," Mech. Solids. 60 (3), 1571-1577 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
3 |
Pages |
1571-1577 |
| DOI |
10.1134/S0025654424607018 |
| Title |
Barycentric Coordinates in the Equilibrium Problem of a Heavy Rough Triangle Suspended on a Pin |
| Author(s) |
E.A. Nikonova (Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, 119333 Russia, nikonova.ekaterina.a@gmail.com) |
| Abstract |
A planar equilibrium problem of a heavy homogeneous thin wire triangle suspended on a thin horizontal nail is considered. The existence of equilibrium positions and their dependence on the coefficient of friction and the lengths of the sides of the triangle are studied under the assumption of the presence of a dry friction force acting between the triangle and the nail. The problem is solved in barycentric coordinates associated with the vertex system of the triangle in question. The equilibrium condition is written in a form that allows a cyclic shift of the indices of the quantities included in it to obtain an equilibrium condition for any of the sides of the triangle with which it contacts the nail. |
| Keywords |
equilibria of a heavy rigid body, dry friction, friction cone |
| Received |
12 December 2024 | Revised |
23 December 2024 | Accepted |
24 December 2024 |
| Link to Fulltext |
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