Brachistochrone curve

Brachistochrone curve
Depot św. Wawrzyńca
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Experimental Garden im. Stanisława Lema
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Hangar Czyżyny
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Brachistochrone curve

HOW


1. Move two balls, one on the plane and the other on one of the curves, to the upper starting positions.
2. Activate the release mechanism and watch the balls.
3. Move the balls along two equal curves to different positions.
4. Stop holding the balls and watch the time it takes them to reach the finish line.


WHY


A cycloid is a curve that is formed by the movement of a point placed on the circumference of a circle that rolls along a straight line. A fragment of such a cycloid is the Brachistochrone Curve – curve of fastest descent. The balls, which launch simultaneously from different locations on the cycloid, hit the target simultaneously. This is because of the greater acceleration the ball undergoes when placed higher up.