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The Brachistochrone Problem: Relative Study of Straight Line Path with Minimum Time Path

International Journal of Applied Physics
© 2015 by SSRG - IJAP Journal
Volume 2 Issue 3
Year of Publication : 2015
Authors : M.P.Patil
10.14445/23500301/IJAP-V2I5P101

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How to Cite?

M.P.Patil, "The Brachistochrone Problem: Relative Study of Straight Line Path with Minimum Time Path," SSRG International Journal of Applied Physics, vol. 2,  no. 3, pp. 13-15, 2015. Crossref, https://doi.org/10.14445/23500301/IJAP-V2I5P101

Abstract:

The brachistochrone problem under influence of gravity has history of science and mathematics. The two points, in vertical plane, higher and lower are fixed then the solution of brachistochrone problem is a segment of a cycloid. I considered lower point is movable along cycloid. The time difference, along cycloid and corresponding straight line path, is compaired during first half cycle. In fact, the path of particle is constrained and hence part of energy is lost by the particle due to kinetic friction and air resistance.

Keywords:

The brachistochrone, The cycloid, the generating circle.

References:

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