A machine with a mass of \(30 \mathrm{~kg}\) is placed on an elastic mounting of unknown properties. An engineer excites the machine with a harmonic force with a magnitude of \(100 \mathrm{~N}\) at a frequency of \(30 \mathrm{~Hz}\). He measures the steady-state response as having an amplitude of \(0.2 \mathrm{~mm}\) with a phase lag of \(20^{\circ}\). Determine the stiffness and damping coefficient of the mounting.