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.
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The ball is recessed into the track.
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Getting a little more fancy, here's a cosine. | |
The ball is atop the track.
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The ball is recessed into the track.
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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.