Consider the spring$-$mass undamped system as shown in Figure, write down the equation of motion

and calculate the response for $0$ t $$ to assuming$-$

a$)$ that the system is initial displacement$=0.$

b$)$ that the system has an initial displacement of $0\mathrm{.}05$ m$.$

$[$Given$,$ m$=100$kg$,$ k$=2000$N$/$m$,$ F$0=100$N$,$ t$0=3$s$]$

Solve it Clearly