Savchenko Problem 3.5.35

Physics · mechanics · electromagnetism

Problem

Let there be an oscillation with weak damping: the damping coefficient γ\gamma ≪\ll ω0\omega_0. How will it affect the oscillation swing of the oscillator from a resting state to an equilibrium position at |ω\omega − ω0\omega_0| ≪\ll γ\gamma and at ω\omega = ω0\omega_0? Why in these cases is it appropriate to talk about the establishment of forced oscillations? What is the characteristic time of this establishment?

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