 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| A.P. Blinov, "On the Trajectories of a Mass Point on a Rotating Surface," Mech. Solids. 48 (2), 165-167 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
2 |
Pages |
165-167 |
| DOI |
10.3103/S0025654413020076 |
| Title |
On the Trajectories of a Mass Point on a Rotating Surface |
| Author(s) |
A.P. Blinov (Timiryazev Moscow Agriculture Academy, Russian State Agricultural University, Timiryazevskaya 49, Moscow, 127550, Russia, blinovap@gmail.com) |
| Abstract |
N. E. Zhukovskii proposed a special method [1] for determining the trajectories of a mass point (particle) on a plane in the field of potential forces. In [2], this method was generalized to the case of particle motions on curvilinear surfaces.
In the present paper, this method is generalized to the case in which the surface, together with the field of potential forces, rotates about a fixed axis. Several examples are considered. |
| Keywords |
surface, trajectory, particle, vector, velocity, energy |
| References |
| 1. | N. E. Zhukovskii,
Complete Papers, Vol. 1: General Mechanics
(Glav. Red. Aviats. Liter., Moscow, 1937)
[in Russian]. |
| 2. | A. P. Blinov,
"On the Motion of a Mass Point on a Surface,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 23-28 (2007)
[Mech. Solids (Engl. Transl.)
42 (1), 19-23 (2007)]. |
| 3. | E. G. Poznyak and E. V. Shikin,
Differential Geometry: the First Acquaintance
(Izd-vo MGU, Moscow, 1990)
[in Russian]. |
| 4. | A. P. Blinov,
"On a Toroidal Pendulum,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 28-33 (2010)
[Mech. Solids (Engl. Transl.)
45 (1), 22-26 (2010)]. |
|
| Received |
19 October 2010 |
| Link to Fulltext |
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