Recent content by hriby

I hope that you've heard about Brachistochrone problem: http://mathworld.wolfram.com/BrachistochroneProblem.html Given two points, I can find (calculate) the courve, on which the ball needs minimum time to travel from point 1 to point 2. I get the equation for the courve, which is cycloid, in...

Thanks benorin, but I need to go a little bit further (and that is missing to me :shy:): let say, that I get exact parametric equation for cycloid (like in brachistochrone problem, I numericaly calculate \frac{1}{2}k^2). How shall I proceed with integral? Thx.

Hi, it is probably a simple question, but it bothers me for quite some time. How can I calculate time that ball needs for certain path/courve, where path equation is given? I could use t=\int_{T_1}^{T_2}\frac{ds}{v} where v is velocity and ds^2=dx^2+dy^2. Because of...