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Magnetic Net and a Bouncing Magnetic Ball

  • Haiduke Sarafian
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7333)

Abstract

Motivated by observing a tennis ball bounce off of a tennis racket we envision a parallel scenario where a magnetic ball bounces off a virtual magnetic net. A steady DC current in a closed horizontal loop casts the invisible elastic magnetic net. Contrary to a mechanical net the magnetic net continuously stays in contact with the magnetic ball. By adjusting the relevant parameters we seek for steady bounces. The equation describing the oscillation is a highly nonlinear differential equation and is symbolically unsolvable. Deploying Mathematica [1] we solve the equation numerically conducive to kinematics. Inclusion of viscosity generalizes the scope of the analysis resulting modified kinematics. We include also a 3D animation simulating the nonlinear oscillations of the magnetic ball.

Keywords

Magnetic Force Magnetic Dipole Nonlinear Oscillation Magnetic Dipole Moment Tennis Ball 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Wolfram, S.: The Mathematica Book, 5th edn. Cambridge University Publications, Cambridge (2003); and Mathematica software V8.0 (2011)Google Scholar
  2. 2.
    Sarafian, H.: Nonlinear Oscillations of a Magneto Static Spring-Mass. J. Electromagnetic Analysis & Applications 3, 133–139 (2011)CrossRefGoogle Scholar
  3. 3.
    Jackson, J.D.: Classical Electrodynamics, 3rd edn. Wiley, Hoboken (2005)Google Scholar
  4. 4.
    Sarafian, H.: Dynamic Dipole-Diople Magnetic Interaction and Damped Nonlinear Oscillations. J. Electromagnetic Analysis & Applications 1, 195–204 (2009)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Haiduke Sarafian
    • 1
  1. 1.University CollegeThe Pennsylvania State UniversityYorkUSA

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