- #1
StephenPrivitera
- 363
- 0
For forced oscillations we have
[tex]\frac {d^2x} {dt^2} = -\omega_N^2x+\frac {F_0} {m} cos\omega_Ft[/tex]
The solution is
[tex]x(t)=\frac {F_0} {m(\omega_N^2-\omega_F^2)}cos\omega_Ft[/tex]
This doesn't seem to reduce to oscillations where F0=0. Shouldn't it?
[tex]\frac {d^2x} {dt^2} = -\omega_N^2x+\frac {F_0} {m} cos\omega_Ft[/tex]
The solution is
[tex]x(t)=\frac {F_0} {m(\omega_N^2-\omega_F^2)}cos\omega_Ft[/tex]
This doesn't seem to reduce to oscillations where F0=0. Shouldn't it?