Eur. Phys. J. Special Topics 223, 631-648 (2014)
https://doi.org/10.1140/epjst/e2014-02130-2

Review

Modeling of the dynamics of two coupled spherical pendula

Division of Dynamics, Technical University of Lodz, 90-924 Lodz, Stefanowskiego 1/15, Poland

^a e-mail: witkowskiblazej@gmail.com

Received: 3 March 2014
Revised: 18 March 2014
Published online: 28 April 2014

Abstract

We study the dynamics of the system of two spherical pendula mounted to the rigid beam which hang from the unmovable frame. Using Langrange's multipliers the equations of motion have been derived. We identify two synchronous states in which pendula rotate in the same or different directions. The results of numerical simulations have been confirmed in the simple experiment.