Question: A point performs damped oscillations with frequency w and damping coefficient . Find the velocity amplitude of the point as a function of time t

A point performs damped oscillations with frequency w and damping coefficient β. Find the velocity amplitude of the point as a function of time t if at the moment t = 0.
(a) Its displacement amplitude is equal to ao;
(b) The displacement of the point x (0) = 0 and its velocity projection vx (0) = Xo.

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