Problem $4.$ A system "spring$-$mass$-$damper" is utilized as an accelerometer. This system has a spring

constant of $15200\frac{N}{m},$ mass of $100$ g $,$ and a damping ratio of $0\mathrm{.}72.$

$[6$ points$]($a$)$ Determine natural frequency $($in Hz $)$ of the "spring$-$mass$-$damper" system: $[7$ points$]($b$)$ Calculate bandwidth of this accelerometer $($in Hz $)$:

$[7$ points$](c)$ How can you increase the bandwidth $of$ this accelerometer?

Answer: $($c$)$: