1. A damped driven harmonic oscillator with m=12 kg, k=280 N/m,
and b=75 kg/sis subjected to a driving force given by F(t) =
F0cos(ωt), where F0=55 N.
a) What value of ω results in steady-state oscillations with
maximum amplitude?
b) What is the maximum amplitude?
c) What is the phase angle?
2. An undamped, driven harmonic oscillator satisfies the
equation of motion
where the driving force is switched on at t=0.
a) Assuming a solution of the form x(t) =...