| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5016611 | International Journal of Non-Linear Mechanics | 2017 | 7 Pages |
Abstract
The problem of finding the plane supporting curve (brachistochrone) along which a heavy particle released from rest at the given starting point slides with dry (Coulomb) friction and reaches the given destination point in least time, is stated as a variational isoperimetrical problem. The finite parametric equations of the extremal curve are obtained. This curve is the sought-for brachistochrone if the solution of the problem exists. Several numerical examples are given.
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Authors
A.S. Sumbatov,