Decagon Charged Pendula and Beyond

DOI: 10.4236/jemaa.2012.46036   PDF   HTML     2,743 Downloads   4,373 Views  

Abstract

We consider a set of n identical charged pendulums and hang them from a common pivot. The electrostatic repulsive charge-charge interaction between the pairs repels the pendulums apart. The weight and the tension of the pendulums balance the coulombian repulsion stabilizing the setup to final static equilibrium. The final configuration is a horizontal n-gon inscribed in a circle of radius, R. It is the objective of our investigation to measure R as a function of mass, length and charge, {m,?,q}, of the pendulum for a number of pendulums, n, within the range of 2?n

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H. Sarafian, "Decagon Charged Pendula and Beyond," Journal of Electromagnetic Analysis and Applications, Vol. 4 No. 6, 2012, pp. 267-270. doi: 10.4236/jemaa.2012.46036.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] J. D. Jackson, “Classical Electrodynamics,” 3rd Edition, Wiley, Hoboken, 2005.
[2] S. Wolfram, “The Mathematica Book,” 5th Edition, Cambridge University Publications, Cambridge, 2003.
[3] http://mathworld.wolfram.com

  
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