A study of super nonlinear motion of a simple pendulum and its generalization

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Two identically charged simple pendulums are dropped symmetrically about their common pivot in a vertical plane. For a set of parameters associated with each pendulum namely {mass,charge, and length} we evaluate the critical angle at which the forces acting on each pendulum are null resulting a static equilibrium. We then consider two dynamic non-equilibrium cases. In the absence of friction we analyze the features of steady oscillations of the pendulums resulting from setting the initial swing angles larger and then smaller than the critical angle. In each case, for a set of initial angles we evaluate the optimum separation angles of the charges and their corresponding acquired traversed times. For a comprehensive visual understanding we utilize Mathematica animation and display the features of the oscillations.

Original languageEnglish (US)
Title of host publicationProceedings of the 2009 International Conference on Computational Science and Its Applications, ICCSA 2009
Pages97-103
Number of pages7
DOIs
StatePublished - Nov 23 2009
Event2009 International Conference on Computational Science and Its Applications, ICCSA 2009 - Yongin, Korea, Republic of
Duration: Jun 29 2009Jul 2 2009

Publication series

NameProceedings of the 2009 International Conference on Computational Science and Its Applications, ICCSA 2009

Other

Other2009 International Conference on Computational Science and Its Applications, ICCSA 2009
CountryKorea, Republic of
CityYongin
Period6/29/097/2/09

All Science Journal Classification (ASJC) codes

  • Computational Theory and Mathematics
  • Computer Science Applications
  • Software

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