Theoretical physics: particles and fields

Particles and fields 1) Lagrange's formalism for vibrational motion of two masses m1 and m2 connected by two fixed walls through springs in x-direction is given by xm and x02 as the equilibrium positions of the two masses. and k1, k2, k12 are the spring constants. Let m1 =m2=m=4m,k12=16k,k2=k1=k. a) Set up the Lagrange function. b) Formulate the motion equations. c) Calculate the eigenfrequencies of the coupled oscillations