$[$Ch$4-$ Harmonic: $2]$ Design the isolator $($i$.$e$.,$ pick $c$ and $k)$ if the mass of the module is $3$ kg and the dominant vibration of the fender is approximated by $y(t)=0\mathrm{.}01sin(35t)m.$ Here it is desired to always keep the displacement of the module less than $0\mathrm{.}005$ m with a damping ratio of $0\mathrm{.}1.$ Once the design values for isolators are chosen, calculate the magnitude of the force transmitted to the module through the isolator.