A point performs damped oscillations with frequency `omega` and damping coefficient `beta`
Channel: Doubtnut
Date: 2020-08-30

A point performs damped oscillations with frequency `omega` and damping coefficient `beta` according to the (4.1b). Find the initial amplitude `a_(0)` and the initial phase `alpha` if at the moment `t=0` the displacement of the point and its velocity projection are equal to  (a) `x(0)=0` and `u_(x)(0)=dot(x_(0))` , (b)  `x(0)=x_(0)` and `v_(x)(0)=0.`