The equation of motion of an undamped harmonic oscillator with driving force [tex]F=F_ocos(\omega*t)[/tex] is(adsbygoogle = window.adsbygoogle || []).push({});

[tex]x(t) = Acos(\omega_0*t) + Bsin(\omega_0*t) + \frac{F_0}{m}\frac{cos(\omega*t)}{\omega_0^2-\omega^2}[/tex]

I am to determine the initial conditions such that the undamped oscillator begins steady state motion immediately. Is steady state motion simply when [tex]\frac{F_0}{m}\frac{cos(\omega*t)}{\omega_0^2-\omega^2} = Acos(\omega*t-\theta)? [/tex]

I really have no idea how to approach this problem. Any help would be appreciated. No answers, just hints. Thanks.

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# Homework Help: Initial Conditions of an Undamped Forced Harmonic Oscillator

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