Two coupled identicle pendula of mass 3 kg are oscillating, having started at rest with positions x1(0) = 0.22m and x2(0) = -0.15m. Mass 1 has Tfast = 0.5s (where Tfast is the period of the rapid oscillations) and Tbeat = 10s.
a) Find the amplitudes of the breathing and pendulum modes
b) Find the position of mass 1 as a function of time