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IssuesArchive of Issues2013-2pp.165-167

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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
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