Tautochrone Curve

Tautochrone is the curve on which the time taken by an object moving down to its lowest point under the influence of gravity is independent of its starting point (End point is not Directly under Starting Point). Tautochrone curve is also called as "Isochrone Curve".
The Curve is a "Cycloid". Check this video ( • The Cycloid and its Pa... ) to know more about Cycloid.
The attempt to identify this curve was solved by Christiaan Huygens in 1659.
The portion of the Curve used for Tautochrone problem is "Half Cycloid".
In this video we present you the Tautochrone Experiment using "Rigid Body Simulation" of Blender. In this experiment three balls are moved on three Half Cycloids of same curvature from different heights on the curve to find-out when they reach the lowest point.
We can see that all the three balls are reaching the lowest portion on the curve at the same time and hitting the targets with different velocities.
Thanks to Wikipedia for the information on Tautochrone Curve. For More Information refer: en.wikipedia.o...
Thanks to www.blender.org/ for their software for Modeling, Rendering, Rigid Body Simulation and Compositing the Tautochrone Experiment.
Thanks to DaVinci Resolve (www.blackmagic...) for providing the Free version for Video Editing, Color Correction and Titles Animation.
Thank you "www.youtube.com/" for the Music Track.
Motivation behind this study: • The Brachistochrone
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