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Modeling of the dynamics of two coupled spherical pendula

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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.

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Correspondence to B. Witkowski.

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Witkowski, B. Modeling of the dynamics of two coupled spherical pendula. Eur. Phys. J. Spec. Top. 223, 631–648 (2014). https://doi.org/10.1140/epjst/e2014-02130-2

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  • DOI: https://doi.org/10.1140/epjst/e2014-02130-2

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