Magnetic Net and a Bouncing Magnetic Ball
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  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.
KeywordsMagnetic Force Magnetic Dipole Nonlinear Oscillation Magnetic Dipole Moment Tennis Ball
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