The free-vibration response of a spring-mass system is observed to have a frequency of 2 \(\mathrm{rad} / \mathrm{s}\), an amplitude of \(10 \mathrm{~mm}\), and a phase shift of \(1 \mathrm{rad}\) from \(t=0\). Determine the initial conditions that caused the free vibration. Assume the damping ratio of the system as 0.1.