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Experimental analysis of the brachistochrone using a kinematical approximation method

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Title: Experimental analysis of the brachistochrone using a kinematical approximation method
Author: Liht, Enrique; Yang, Hans
Issue Date: 2011-03
Publicly Available in cIRcle 2011-06-07
Series/Report no. University of British Columbia. Science One Program. Research Projects 2010-2011
Abstract: The solution to the brachistochrone – the curve of fastest descent – for a spherical steel bearing sliding and rolling down a low-friction plastic track is determined from experimental data and numerical analysis. It is hypothesized that the curve of fastest descent will be closely correlated to the cycloid. Analysis involves a spreadsheet simulation of model curves where the times of descent are predicted by an approximation formula derived using basic kinematics. Results display a positive correlation between a model curve’s deviation from the cycloid and the time of descent.
Affiliation: Science, Faculty of
URI: http://hdl.handle.net/2429/35252
Peer Review Status: Unreviewed
Scholarly Level: Undergraduate

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