 | | 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: | | 12788 |
| In Russian (Čçâ. ĐŔÍ. ĚŇŇ): | | 8028
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| In English (Mech. Solids): | | 4760 |
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| A.A. Burov and V.I. Nikonov, "On the Equilibria of a Heavy Hoop Suspended on a Nail," Mech. Solids. 59 (1), 11-19 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
1 |
Pages |
11-19 |
| DOI |
10.1134/S0025654423601106 |
| Title |
On the Equilibria of a Heavy Hoop Suspended on a Nail |
| Author(s) |
A.A. Burov (Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, 119333 Russia, jtm@narod.ru)
V.I. Nikonov (Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, 119333 Russia, nikon_v@list.ru) |
| Abstract |
We consider the plane problem of the equilibrium of a homogeneous heavy thin elliptical
hoop suspended on a thin horizontal nail. Under the assumption that a dry friction force acts between
the nail and the hoop, the dependence of the set of equilibrium positions on the friction coefficient
and the semi-axes of the ellipse is studied. The results obtained apply to the following problem: to describe the equilibrium positions of a heavy rigid body (“gun”) suspended on a nail using a rope, both
ends of which are fixed in the body. It is shown how such a distribution of results can be carried out
directly in the case when the center of mass of the body is located in the middle between the suspension
points. |
| Keywords |
equilibrium of a heavy solid, dry friction, parametric dependence |
| Received |
07 April 2023 | Revised |
22 June 2023 | Accepted |
02 July 2023 |
| Link to Fulltext |
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