1. The problem statement, all variables and given/known data A particle of mass m is suspended between two springs, each of spring constant k. In equilibrium position each spring is horizontal and has length L. The springs can swivel in the x,y plane as well as stretch or contract. Treating this as a two dimensional problem and ignoring gravity, write the Lagrangian for the system and find the equations of motion. 2. Relevant equations L=T-U, (d/dt (pL/px')) - pL/px =0 T= kinetic energy, U= potential energy, p= partial derivative symbol, '= prime symbol 3. The attempt at a solution I set T= 1/2*m*x'^2, U= -2*(1/2*k*Δx^2), then deriving the equations of motion I got mx''+2kΔx=0 and my''+2kΔy=0 (wrong answer) (I'm not sure if there are supposed to be two equations) Thanks!