A damped single degree of freedom system with natural frequency Ω = 3π/2 rad/sec and damping ratio ζ = 0.02 is subjected to a seismic ground acceleration a(t) = Σn k=1 [ak cos(νkt) + bk sin(νkt)], 0 ≤ t ≤ T, where n = 10, νk = 2πk/T, T = 10 sec, ak = sin(πk), and bk = sin(3π/2k). Calculate and plot the Fourier transforms of the ground acceleration and the displacement x(t) of the system.