1. A uniform string of length 2 meters hangs from two supports at the same height, 1 meter apart. by minimizing the potential energy of the string, find the equation describing the curve it forms and, in particular, find the vertical distance between the supports and the lowest point on the string. 2. Relevant equations [tex]\lambda[/tex]g[tex] \int y(x) dx[/tex] ? where lambda is linear density, g is acc. due to grav. 3. The attempt at a solution Not sure how to start, thinking maybe using an equation for potential as an integral over length?