### 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 language | English (US) |
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Title of host publication | Proceedings of the 2009 International Conference on Computational Science and Its Applications, ICCSA 2009 |

Pages | 97-103 |

Number of pages | 7 |

DOIs | |

State | Published - 2009 |

Event | 2009 International Conference on Computational Science and Its Applications, ICCSA 2009 - Yongin, Korea, Republic of Duration: Jun 29 2009 → Jul 2 2009 |

### Other

Other | 2009 International Conference on Computational Science and Its Applications, ICCSA 2009 |
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Country | Korea, Republic of |

City | Yongin |

Period | 6/29/09 → 7/2/09 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Computational Theory and Mathematics
- Computer Science Applications
- Software

### Cite this

*Proceedings of the 2009 International Conference on Computational Science and Its Applications, ICCSA 2009*(pp. 97-103). [5260948] https://doi.org/10.1109/ICCSA.2009.13

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*Proceedings of the 2009 International Conference on Computational Science and Its Applications, ICCSA 2009.*, 5260948, pp. 97-103, 2009 International Conference on Computational Science and Its Applications, ICCSA 2009, Yongin, Korea, Republic of, 6/29/09. https://doi.org/10.1109/ICCSA.2009.13

**A study of super nonlinear motion of a simple pendulum and its generalization.** / Sarafian, Haiduke.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - A study of super nonlinear motion of a simple pendulum and its generalization

AU - Sarafian, Haiduke

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=70449633548&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70449633548&partnerID=8YFLogxK

U2 - 10.1109/ICCSA.2009.13

DO - 10.1109/ICCSA.2009.13

M3 - Conference contribution

SN - 9780769537016

SP - 97

EP - 103

BT - Proceedings of the 2009 International Conference on Computational Science and Its Applications, ICCSA 2009

ER -