Is anybody here familiar with variational calculus? I wanted to solve for the brachistochrone if you account for friction. I have an expression for the velocity of an object sliding down a chute with a shape defined by the function y in terms of x, where [math]\mu[/math] is the friction coefficient, and I need somebody to help me minimize the time integral assuming this velocity.
The velocity function is here:[eqn]v=e^{-\mu\arctan\left(y'\right)}\sqrt{2g\int_{x_0}^{x_1}\left(-y'-\mu\right)e^{2\mu\arctan\left(y'\right)}dx+C}[/eqn]
>>17021658very nice
>>17021658How does that work?
