Magnetic net and a bouncing magnetic ball

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish (US)
Title of host publicationComputational Science and Its Applications - 12th International Conference, ICCSA 2012, Proceedings
Pages599-609
Number of pages11
EditionPART 1
DOIs
StatePublished - Jul 23 2012
Event12th International Conference on Computational Science and Its Applications, ICCSA 2012 - Salvador de Bahia, Brazil
Duration: Jun 18 2012Jun 21 2012

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 1
Volume7333 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other12th International Conference on Computational Science and Its Applications, ICCSA 2012
CountryBrazil
CitySalvador de Bahia
Period6/18/126/21/12

Fingerprint

Kinematics
Ball
Bounce
Animation
Differential equations
Viscosity
Nonlinear Oscillations
Mathematica
Nonlinear Differential Equations
Horizontal
Inclusion
Contact
Oscillation
Closed
Scenarios
Generalise

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Sarafian, H. (2012). Magnetic net and a bouncing magnetic ball. In Computational Science and Its Applications - 12th International Conference, ICCSA 2012, Proceedings (PART 1 ed., pp. 599-609). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7333 LNCS, No. PART 1). https://doi.org/10.1007/978-3-642-31125-3_45
Sarafian, Haiduke. / Magnetic net and a bouncing magnetic ball. Computational Science and Its Applications - 12th International Conference, ICCSA 2012, Proceedings. PART 1. ed. 2012. pp. 599-609 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 1).
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Sarafian, H 2012, Magnetic net and a bouncing magnetic ball. in Computational Science and Its Applications - 12th International Conference, ICCSA 2012, Proceedings. PART 1 edn, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 1, vol. 7333 LNCS, pp. 599-609, 12th International Conference on Computational Science and Its Applications, ICCSA 2012, Salvador de Bahia, Brazil, 6/18/12. https://doi.org/10.1007/978-3-642-31125-3_45

Magnetic net and a bouncing magnetic ball. / Sarafian, Haiduke.

Computational Science and Its Applications - 12th International Conference, ICCSA 2012, Proceedings. PART 1. ed. 2012. p. 599-609 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7333 LNCS, No. PART 1).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Sarafian H. Magnetic net and a bouncing magnetic ball. In Computational Science and Its Applications - 12th International Conference, ICCSA 2012, Proceedings. PART 1 ed. 2012. p. 599-609. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 1). https://doi.org/10.1007/978-3-642-31125-3_45