Recent content by Asle

Solution Found the solution. If anyone passes by: Write S = W(x) + W(t)x + f(t) and calculate (dS/dx) and then square it. Set up and solve for terms just contaoing x and then the ones containing t. And with initial conditions you obtain the solution.

Thanks for the replies, but I am still not closer to obtaining the solution. Anyone who has solved a similar problem ??

I am currently taking a course in classical mechanics and my professor have handed out a lot of problems, some with solution. But how do you solve the S(x,t)=X(x)T(t) in this case. Remeber its (dS/dx)^2 and thus yields: (dX/dx)^2T^2 And the term containing both x and t..? Should it go...

Thanks for the tip, but I am just having a problem with that.. its -mAxt, so its a function of both x and t. I have the solution: S = x(alpha) + 0.5 mAxt^2 + (1/40)mA^2 t^5 - (1/6)A(alpha)t^3 - (1/2m)(alpha)^2t

I am really at lost in this problem. (1/2m)(dS/dx)^2 - mAxt + dS/dt = 0, where all d are partial derivatives This should be the correct equation, but how to solve it? Supposedly this is a case where you don't have to separate t (Goldstein, 445 and prob 8 479, third edition) But I still...

Hello I am having a litte problem solving h=[ p^2 / (2m) ] + mAxt where m, A are constants. initial conditions: t=0, x=0, p= mv Supposedly sol this with Hamiltons principal function. A hint for start would be nice Thanks in Advance