1M50.20 • Conservation of Energy: Brachistochrone Curve

Location: Cabinet 7

Photo shows the demonstration used at the University of Texas at Austin

---

Concepts Conveyed:

• Brachistochrone curve, the middle curve, is the fastest path between two points.
• Gravitational potential energy is rapidly converted into kinetic energy, resulting in a faster path despite a longer distance.

---

Instructions / Notes:

• Wedge the catching mechanism between a clamp placed at the end of the table and the demo.
• Place the balls in the release mechanism, with the red ball in the middle, that one will follow the Brachistochrone curve.
• Once they are in the release mechanism, make sure it is sticking out enough to ensure the balls all fall at the same time.
• Stand behind the demo and lift the release mechanism with both hands on either side of the apparatus.

---

Demo Staff:

• Make sure the outer linear path is completely flush with the top guide and secured with duct tape.

Last updated on July 17, 2026