$7\mathrm{.}33$ Consider again the impulse response shown by Fig. P$7\mathrm{.}17$ for Problem $7\mathrm{.}17.$ Develop a simple linear

model of the mechanical system using the approximate values for damping ratio zeta and undamped natural

frequency omega$\_($n$)$ that were determined in Problem $7\mathrm{.}17.($the mass is $0\mathrm{.}2$ kg $).$ Use Simulink to simulate the

impulse response, and adjust the magnitude and duration of the pulse input force $($i$.$e$.,$ impulse$)$ in order to

match Fig. P$.7\mathrm{.}17.$ What is the "strength" or "weight" of the impulse?