A point performs damped oscillations with frequency \( \omega \) and damping coefficient \( \bet...

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A point performs damped oscillations with frequency \( \omega \) and damping coefficient \( \beta \). Find the velocity amplitude of the point as a function of time \( t \) if at the moment \( t=0 \)
the displacement of the point \( x(0)=0 \) and its velocity projection \( V_{X}(0)=\dot{x}_{0} \)
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