$[8]$ A force transducer is mounted such that its total effective mass is $80$ g $.$ When a static force of $100$ N is applied to the transducer, it deflects by $1\mathrm{.}25$ mm $.$ Damping in the transducer system is estimated as $\backslash (\backslash$zeta$=0\mathrm{.}15\backslash ).$ Calculate the frequency range for a maximum amplitude error of $\backslash (5\backslash \%\backslash )$ when it has a simple periodic function input.