GCM16: The Brachistochrone problem

Описание к видео GCM16: The Brachistochrone problem

We solve the classic problem of finding the shape of the path in a constant gravitational field which minimizes travel time. First the elegant solution of John Bernoulli is presented, then the more technical solution using variational calculus and a specific corollary to the Euler's equation is presented. In closing, we discuss properties of the solution.

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