1. The problem statement, all variables and given/known data I am given the weight (force) of the rope as W. It sits on a cone about halfway down, with the cone's top angle ø. Radius at a given placement is r, and h is our height at a given placement. I need to find the tension, T, in the rope. 2. Relevant equations W=mg Integral (F * dr) = 0 I am taking r to be along the x axis. L = sqrt(r^2 + h^2) X = L*cos(ø) Y = L*sin(ø) dX = dø*L*-sin(ø) dY = dø*L*cos(ø) 3. The attempt at a solution Expressing my equilibrium as: T*L*dø*cos(ø)-m*g**dø*L*-sin(ø) = 0 I get: T = W*tan(ø) This seems over simplified? Or am I over-thinking it? It's around a circle radius r and each element of T summed over the circle would be 2*pi*T but the gravitational force is also summed over 2*pi. Perhaps I skipped over the line integral of this? I am very interested in the correct integral setup of this problem because it looks like a future test question, and I also want to know how my 2*pi factor disappears (if it was ever present?) Any help is appreciated.