Magnetic Net and a Bouncing Magnetic Ball

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


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.


Magnetic Force Magnetic Dipole Nonlinear Oscillation Magnetic Dipole Moment Tennis Ball 
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  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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