Consider a mass connected to 4 identical springs. Each spring has spring constant k and unstretched length L0 and the length of each spring in this configuration is a (not necessarily L0).
1. When the mass is displaced a small distance to the point (x,y) show that it's potential energy has the form 1?2 Kx2. What is K in terms of k?
2. Give an expression for the corresponding force.