Features of the support reaction in the range maximization problem in a resistant medium
A. V. Zarodnyuk, D. I. Bugrov, O. Yu. Cherkasov
Lomonosov Moscow State University
The horizontal coordinate's maximization problem of a mass-point as well as the corresponding brachistochrone problem is considered. The mass-point is supposed to be moving in a vertical plane under the influence of gravity and viscous drag that is proportional to the $n$th degree of the velocity. The analysis of the reaction force, which is considered as control along the extremal curve, is provided. It is established that the reaction of the basement can change its sign no more than one time, moreover, it changes only from negative values to positive values.
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A. V. Zarodnyuk, D. I. Bugrov, O. Yu. Cherkasov, “Features of the support reaction in the range maximization problem in a resistant medium”, Fundam. Prikl. Mat., 22:2 (2018), 147–158
Citation in format AMSBIB
\by A.~V.~Zarodnyuk, D.~I.~Bugrov, O.~Yu.~Cherkasov
\paper Features of the support reaction in the range maximization problem in a resistant medium
\jour Fundam. Prikl. Mat.
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