A mechanical dynamic system can be modeled as a one$-$degree$-$of$-$freedom system with a lumped mass, $m=($number of characters in your first name times $4)$ kg $,$ your $m=q,.$ spring constant, $k=($number of characters in your last name times $80)\frac{N}{m},$ your $k=400$

$q,.$ and damping coefficient, $c=3N*\frac{(s)}{(m)},$ as shown in the figure. The mass is subjected to a force of $60sin(5t)N$ in the direction of $x$ at the time equal to $0.$ The mass will oscillate around its equilibrium point in the coordinate $x.$

$50\%(1)$ Use Simulink to simulate the motion of the dynamic system for $50$ sec $.$ Your solution should include:

$($a$)$ Simulink diagram which represents the dynamic system $($all parameters must be explicitly displayed in your screenshot$).$

$($b$)$ Graphical displacement output of $x$ at the scope $($add your name in front of displacement$).$