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The damped oscillator with a harmonic driving force, has the equation of motion d2 dt2 r(t) +r dt r(t) + wor(t) = F(t)/m,2.3. For the
The damped oscillator with a harmonic driving force, has the equation of motion d2 dt2 r(t) +r dt r(t) + wor(t) = F(t)/m,2.3. For the system with equation of motion (2.14), suppose that the driving force has the form f0 cos taut cos 5t where 'CE-iwg 811d P20. As 5 } 0, this goes on resonance. What is the displacement for 5 nonzero to leading order in iii/mu? Write the result in the form o} content + mt} sin mot and nd or\") and Mt). Discuss the physics of this result. Hint: First shot.r that (:03th cos 5t : _: RB (Ei(am+5}t + (awn53:)
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