A harmonic force of F(t) = 10 cos(\omega t) is applied to the system shown in the following figure. With zero initial velocity and initial displacement, the response is observed to be x(t) = A sin(0.13t) sin(1.11t). Based on the following information, determine the amplitude of the response (A) in millimetre.\newlineE1 = 191 \times 10^9 N/m^2, A1 = 2.19 \times 10^{-6} m^2, L1 = 0.81 m\newlineE2 = 88 \times 10^9 N/m^2, A2 = 2.19 \times 10^{-6} m^2, L2 = 0.43 m