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

T2 - 12th International Conference on Computational Science and Its Applications, ICCSA 2012

Y2 - 18 June 2012 through 21 June 2012

ER -