An un-damped driven harmonic oscillator satisfies the equation of motion m (d2x/dt2 + w2/0 = F(t). The driving force F (t) = F- sin (wt) is switched on at t = 0.
(a) Find x (t) for t > 0 for the initial conditions x = 0 and v = 0 at t = 0.
(b) Find x (t) for w = w0 by taking the limit w → w0 in your result for part (a). Sketch your result for x (t).