For this problem, the mass is $30$ kg and the spring constant is $90$ kN$/$m$.$

a$)$ Calculate the resonant $($natural$)$ frequency of the mass spring system $($n$).$ Provide the answer to two decimal places in radians $/$ second.$$

b$)$ Determine the resonant $($natural$)$ frequency of the mass spring system $($fn$).$ Provide the answer to two decimal places in cycles$/$ second $($Hertz$).$

c$)$ Determine the period of vibration for the mass spring system $($T$).$ Provide the answer to three decimal places in seconds.