Rolling Ball Coasters

We now take a ball that is free to rotate on a rough surface. Here friction on the track is needed to get the ball rolling, and it does NOT significantly slow the ball down.
We start with a straight line.
The ball is atop the track.
 
The ball is recessed into the track.
 
Getting a little more fancy, here's a cosine.
The ball is atop the track.
 
The ball is recessed into the track.
 

Mathematica files:   Line   Cosine  



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All content above relates to Math s45K, Roller Coasters: Theory, Design, and Properties, offered during Short Term 2005 at Bates College in Lewiston, Maine.
 
Please send comments or questions to Meredith Greer at mgreer@bates.edu.
 
Page last updated 6/29/2005.