In a spring mass dashpot system $k=28k\frac{N}{m},m=98kg$ and the damping provided is only $25\%$ of the critical value. Determine $($i$)$ the damping ratio $($ii$)$ the critical damping coefficient $($iii$)$ the natural frequency of damped vibration. $($iv$)$ the logarithmic decrement $($v$)$ the ratio of two successive amplitudes.