Problem Sheet $2$: Question $11$ $ PETRONAS For a spring$-$mass$-$damper system, m $=10$ kg$,$ c $=150$ N$.$s$/$m and k $=1000$ N$/$m$.$ Find damping ratio and damped natural frequency. Determine the free$-$ vibration response of the viscously damped systems when x$.=0\mathrm{.}1$ m and x $=10$ m$/$s$.$ What are the difference$($s$)$ when the damping constant of the system is increased to c $=200$ N$.$s$/$m and $250$ N$.$s$/$m$,$ given all other parameters remain the same?