A popular problem for mathematicians of the 17th century was the brachistochrone curve. Consider two points A

Question:

A popular problem for mathematicians of the 17th century was the brachistochrone curve. Consider two points A and B in a vertical plane, joined by a curve C. In A, a massive particle is dropped with zero initial velocity, and it slides without friction along the curve under the effect of gravity.Wewant to determine the curve C such that the time for the particle to go from A to B is minimum.We note z the altitude and x the abscissa of a point on the curve. The endpoints A and B correspond respectively to (x = a, z = α) and (x = b, z = β).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Variational Principles In Physics

ISBN: 9783031216916

2nd Edition

Authors: By Jean-Louis Basdevant

Question Posted: