(1) A damped harmonic oscillator is driven by a periodic force $F_{drive} = F_0 \sin \omega t$. Show that the amplitude and the phase of the steady-state motion is exactly the same as that for a driving force $F_{drive} = F_0 \cos \omega t$.
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The equation of motion for a damped harmonic oscillator driven by a periodic force is given by: m * d^2x/dt^2 + b * dx/dt + k * x = F_drive where m is the mass of the oscillator, b is the damping coefficient, k is the spring constant, x is the displacement of Show more…
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