### 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 language | English (US) |
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Title of host publication | Computational Science and Its Applications - 12th International Conference, ICCSA 2012, Proceedings |

Pages | 599-609 |

Number of pages | 11 |

Edition | PART 1 |

DOIs | |

State | Published - Jul 23 2012 |

Event | 12th International Conference on Computational Science and Its Applications, ICCSA 2012 - Salvador de Bahia, Brazil Duration: Jun 18 2012 → Jun 21 2012 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Number | PART 1 |

Volume | 7333 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 12th International Conference on Computational Science and Its Applications, ICCSA 2012 |
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Country | Brazil |

City | Salvador de Bahia |

Period | 6/18/12 → 6/21/12 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*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

}

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Magnetic net and a bouncing magnetic ball

AU - Sarafian, Haiduke

PY - 2012/7/23

Y1 - 2012/7/23

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84863922935&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84863922935&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-31125-3_45

DO - 10.1007/978-3-642-31125-3_45

M3 - Conference contribution

AN - SCOPUS:84863922935

SN - 9783642311246

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 599

EP - 609

BT - Computational Science and Its Applications - 12th International Conference, ICCSA 2012, Proceedings

ER -