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Physics — Damped & Forced Oscillations

The damped-oscillator equation, its solution and Q-factor.

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m\ddot{x} + b\dot{x} + kx = 0

x = A e^{-\gamma t}\cos(\omega' t)

\omega' = \sqrt{\omega_0^2 - \gamma^2}

Q = \frac{\omega_0}{2\gamma}