- #1
Crush1986
- 207
- 10
Homework Statement
[tex] \ddot x +\omega_0 x = \frac{F_0}{m}sin{\omega_0 t} [/tex]
Homework Equations
[tex] y_h=C_1 cos{\omega_0 t} + C_2 sin{\omega_0 t} [/tex]
The Attempt at a Solution
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So, I complexified this problem, hoping to make it easier. I saw that I couldn't let [tex] X_p = Ae^{i \omega_0 t - \frac{\pi}{2}} [/tex] because it was contained in the homogeneous solution. So I tried [tex] X_p = Ate^{i \omega_0 t - \frac{\pi}{2}} [/tex]
I went through the entire song and dance and ended up with [tex] \frac{Ft}{2m \omega_0} cos{\omega_0 t} [/tex]
The answer that works it looks like though is the negative of this solution. I've checked my algebra over and over. I must have maybe made a mistake with my initial pick? Is there something else I should have tried?
Thanks.