Recent content by mataleo
-
M
Find the shortest path between two points in polar coordinates
Yead, I dropped 'C' from the numerator in the integral and thanks for the suggestion on the polar form of the equation being equivalent to rcos(θ+α)=C, but I'm still getting an integral that doesn't seem to fit this form: θ = √(-(C/r)^2 + 1) / C^2 for C^2/R^2 <= 1 Maybe if I just show...- mataleo
- Post #3
- Forum: Advanced Physics Homework Help
-
M
Find the shortest path between two points in polar coordinates
Homework Statement Find the shortest distance between two points using polar coordinates, ie, using them as a line element: ds^2 = dr^2 + r^2 dθ^2Homework Equations For an integral I = ∫f Euler-Lagrange Eq must hold df/dθ - d/dr(df/dθ') = 0 The Attempt at a Solution f = ds = √(1 + (r *...- mataleo
- Thread
- Coordinates Path Points Polar Polar coordinates
- Replies: 4
- Forum: Advanced Physics Homework Help