GCM16: The Brachistochrone problem
Автор: Learn Physics with Dr. Viv!
Загружено: 2022-07-27
Просмотров: 1382
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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