A point performs damped oscillations with frequency \( \omega=25 \mathrm{~s}^{-1} \). Find the d...

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A point performs damped oscillations with frequency \( \omega=25 \mathrm{~s}^{-1} \). Find the damping coefficient \( \beta \) if at the initial moment the velocity of the point is equal to zero and its displacement from the equilibrium position is \( \eta=1.020 \) times less than the amplitude at that moment.
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