The Rolling of a Homogeneous Ball with Slipping on a Horizontal Rotating Plane
2019, Vol. 15, no. 2, pp. 171-178
Author(s): Ivanova T. B.
Download File PDF, 443.65 Kb |
References |
|
[1] | Earnshaw, S., Dynamics, or An Elementary Treatise on Motion, 3rd ed., Deighton, Cambridge, 1844 |
[2] |
Borisov, A. V., Ivanova, T. B., Karavaev, Yu. L., and Mamaev, I. S., “Theoretical and Experimental Investigations of the Rolling of a Ball on a Rotating Plane (Turntable)”, Eur. J. Phys., 39:6 (2018), 065001, 13 pp. ![]() |
[3] |
Fufaev, N. A., “A Sphere Rolling on a Horizontal Rotating Plane”, J. Appl. Math. Mech., 47:1 (1983), ![]() ![]() |
[4] |
Fufaev, N. A., “On the Possibility of Realizing a Nonholonomic Constraint by Means of Viscous Friction Forces”, J. Appl. Math. Mech., 28:3 (1964), ![]() ![]() ![]() ![]() ![]() |
[5] |
Kolesnikov, S. L., “The Problem of a Homogeneous Heavy Ball Rolling with Slipping in a Vertical Cylinder”, Collection of scientific and Methodical Papers on Theoretical Mechanics, v. 17, Vysshaya Shkola, Moscow, 1986, |
[6] |
Karapetyan, A. V. and Rumyantsev, V. V., Stability of Conservative and Dissipative Systems, Itogi Nauki Tekh. Ser. Obshch. Mekh., 6, VINITI, Moscow, 1983, 132 pp. (Russian) ![]() |
[7] |
Eldering, J., “Realizing Nonholonomic Dynamics as Limit of Friction Forces”, Regul. Chaotic Dyn., 21:4 (2016), ![]() ![]() ![]() ![]() ![]() ![]() |
[8] |
Borisov, A. V. and Mamaev, I. S., “Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems”, Regul. Chaotic Dyn., 13:5 (2008), ![]() ![]() ![]() ![]() ![]() |
[9] |
Borisov, A. V., Kilin, A. A., and Mamaev, I. S., “The Hamilton Principle and the Rolling Motion of a Symmetric Ball”, Dokl. Phys., 62:6 (2017), ![]() ![]() ![]() ![]() ![]() ![]() |
[10] |
Gersten, J., Soodak, H., and Tiersten, M. S., “Ball Moving on Stationary or Rotating Horizontal Surface”, Am. J. Phys., 60:1 (1992), ![]() ![]() |
[11] |
Kyeong Min Kim, Donggeon Oh, Junghwan Lee, Young-Gui Yoon, Chan-Oung Park, Dynamics of Cylindrical and Spherical Objects on a Turntable, HAL Id: |

This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License