Lagrangian formalism: oscillations (theoretical physics)

1) Lagrangian formalism: oscillations Lag range's formalism for vibrational motion of two masses m1 and m2 connected by two fixed walls through springs in x-direotion is given by Km and x02 as the equilibrium positions of the two masses. and k1, k2, R12 are the spring oonstants. It holds that m1 = 1/2m2 = m, k12='/5k2=1f2k1=k a) Set up the Lagrange function. h) Formulate the motion equations. o) Calculate the eigenfrequenoies of the coupled oscillations. m_ m i._. :r. h x