A point performs damped oscilaltions with frequency `omega` and dampled  coefficient `beta`.
Channel: Doubtnut
Date: 2020-08-30

A point performs damped oscilaltions with frequency `omega` and dampled  coefficient `beta`. 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 `a_(0),`  `(b)` the displacement of the point `x(0)=0` and its velocity projection `v_(x(0)=dot(x_(0))`