Consider the following variation of the brachistochrone problem: A particle of mass m is to slide… 1 answer below »

Consider the aftercited departure of the brachistochrone tenor: A mite of concretion m is to slide down a frictionless footprint connecting two consecrated points that are not located on the perpendicular sequence. The mite’s moderate hurry is v0. The noise of the mite is oppressive solely by lugubriousness and the cast of the footprint. Find the flexion of the footprint that minimizes the space trip among the two consecrated points. Solve this brachistochrone tenor using the incompleteness cause of Pontryagin. Illustrate your derivations after a while a numerical in and simulations using MATLAB.