TY - GEN

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

AU - Sarafian, Haiduke

PY - 2009/11/23

Y1 - 2009/11/23

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.

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U2 - 10.1109/ICCSA.2009.13

DO - 10.1109/ICCSA.2009.13

M3 - Conference contribution

AN - SCOPUS:70449633548

SN - 9780769537016

T3 - Proceedings of the 2009 International Conference on Computational Science and Its Applications, ICCSA 2009

SP - 97

EP - 103

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

T2 - 2009 International Conference on Computational Science and Its Applications, ICCSA 2009

Y2 - 29 June 2009 through 2 July 2009

ER -