 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| M.V. Ishkhanyan, "The interconnection of sliding and rolling in the problem of the motion of a homogeneous sphere on a rough horizontal plane," J. Appl. Math. Mech. 74 (2), 154-157 (2010) |
| Year |
2010 |
Volume |
74 |
Issue |
2 |
Pages |
154-157 |
| Title |
The interconnection of sliding and rolling in the problem of the motion of a homogeneous sphere on a rough horizontal plane |
| Author(s) |
M.V. Ishkhanyan (Moscow, Russia, margarita-ish@yandex.ru) |
| Abstract |
The motion of a homogeneous sphere on a rough horizontal plane when the angular velocities of the twisting and spinning of the sphere are equal to zero at the initial instant is considered. It is proved that, for any initial conditions, the angular velocity of the rolling of the sphere and the sliding velocity vanish after the same finite time. It is shown that the sliding and rolling are interconnected and, in particular, that the rolling of a sphere without sliding is impossible. |
| Received |
15 August 2009 |
| Link to Fulltext |
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