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Brachistochrone

Science Caravan · Mathematics

Exhibit Dimensions: Transport dimensions: 540×440×640mm, Display dimensions: 540×440×1450mm. Exhibit Composition: Consists of an ABS plastic molded box, ABS plastic molded base, ABS milky white plastic molded operation surface with color silk-screened flip instruction board, small balls, metal tracks, ball release device, etc. Place two small balls at the same height on two tracks and release them simultaneously, observe the order in which the balls reach the endpoint. Used to explore the fastest track. The two tracks have the same starting height and ending height, one is a straight track, the other is a curved track. Place the two balls at the starting positions respectively, pull the operating lever, and both balls roll down simultaneously. No matter how many times you try, the ball on the curved track always reaches the endpoint first. Scientific Principle: Why does the ball rolling down the longer track take the shortest time? The order in which the balls reach the endpoint depends not only on the length of the track but also on the ball's sliding speed. In fact, the curved track is a brachistochrone. In the initial stage of descent, the ball gains greater speed quickly through a steeper track; then fully utilizes the greater speed to complete the flat curve. Therefore, compared to other tracks, the ball rolling on the brachistochrone always reaches the endpoint first.

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