First slide
Forced oscillation
Question

In forced oscillations displacement equation is \large x\left( t \right)\, = \,A\cos \left( {{\omega _d}t + \theta } \right) then amplitude ‘A’ vary with forced angular frequency \large {\omega _d} and natural angular frequency ‘\large \omega’ as (b = damping constant)

Easy
Solution

The amplitude "A" is a funciton of the external periodic  force  frequency  and  the  natural frequency \large {\omega _o}

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