Compression of Characteristics of Trajectories in Rotating Frames vs. Nonuniform Magnetic Fields

DOI: 10.4236/jemaa.2013.58053   PDF   HTML   XML   2,505 Downloads   3,613 Views  

Abstract

The equation of motion of an object moving in a frictionless horizontal rotating frame is somewhat comparable to the one describing the motion of a point-like charged particle projected in a magnetic field. We show that the impact of angular velocity in the former is equivalent to the impact of the magnetic field in the latter. We consider scenarios conducive to comparable trajectories for these two distinct areas of physics. We extend the analysis considering two separate routes. For the rotating frame we investigate the impact of friction and for the magnetic field the effect of field in-homogeneities. We utilize Mathematica [1] throughout, most notably for solving coupled partial differential equations.

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H. Sarafian, "Compression of Characteristics of Trajectories in Rotating Frames vs. Nonuniform Magnetic Fields," Journal of Electromagnetic Analysis and Applications, Vol. 5 No. 8, 2013, pp. 336-341. doi: 10.4236/jemaa.2013.58053.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Mathematica, “A General Computer Software System and Language Intended for Mathematical and Other Applications,” V9.0, Wolfram Research, Champaign, 2013.
[2] https://www.boundless.com/physics/magnetism/motion-charged-particle-in-magnetic-field-2/circular-motion-5 https://ilt.seas.harvard.edu/images/material/493/235/Ch28n32v2.24.pdf
[3] J. D. Jackson, “Classical Electrodynamics,” 3rd Edition, Wiley, New York, 1998.
[4] S. T. Tronton and J. B. Marion, “Classical Dynamics of Particles and Systems,” 5th Edition, Cengage Learning, Independence, 2008.
[5] A. P. French, “Newtonian Mechanics,” W. W. Norton, New York, 1971, pp. 528-529.
[6] G.-G. Coriolis, “Sur les équations du Mouvement Relatif des Systèmes de Corps,” Journal de l’Ecole Royale Polytechnique, Vol. 15, 1835, pp. 144-154.
[7] R. P. Feynman, R. B. Leighton and M. Sands, “The Feynman Lectures on Physics, Vol. 1,” Addison-Wesley, Redwood City, 1989, pp. 19-8-19-9.

  
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