A damped oscillator with natural angular frequency can and damping parameter 2*}! is subject to a sinusoidal driving force with angular frequency w. The position of the oscillator with respect to the equilibrium position at any given time tis determined by i + 21i+wx = Fexpwt) where F is a constant. (a) The steady state behavior (longtime behavior) can be taken to be the ansatz: 2(t) = GM earrow-It)- (We expect that the oscillator will oscillate at the same rate as the driving force.) what is G00) and what are its poles? (b) The angular frequency of the driving force is a real positive number. Sketch the graph of |G(w)| on the real waxis. For what value of driving angular frequency will the amplitude of the steady state solution becomes a maximum (this is the resonance frequency)