Problem $1$: A negligible mass at point A with k$1=90\frac{N}{m},k_2=$

$120\frac{N}{m},k3=100\frac{N}{m},c_1-12N-\frac{s}{m},$ and $c_2=5N-\frac{s}{m}.$

$($a$)$ Find the equivalent sulfiess and the equivalent damping

coetlicient of the system.

$($b$)$ Determine the equation of motion of poim $A.$

$($c$)$ Find the response with initial condition x$(0)=0\mathrm{.}02m.$

$($d$)$ Find the time till steady state.