I'm having trouble with this problem. I want to get it into a form with cos but I'm stumped.(adsbygoogle = window.adsbygoogle || []).push({});

The solution for damped simple harmonic motion is given by

x = (e^(-rt/2m))(C_1*e^(iw't)+C_2*e^(-iwt))

If x = Acos phi at t = 0, find the values of C_1 and C_2 to show that x'=(approx) -w'Asinphi at t = 0 only if r/m is very small or phi =(approx) pi/2.

Where w = omega and phi = angle phi and i=complex variable x' = 1st derivative

Any ideas or help would be really appreciated.

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# Homework Help: Damped Simple Harmonic Motion

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