1) Fig. 2a and Fig. 2b show the Frequency Response Function (FRF) X₁/F₁ andX2/F2 respectively. The data related to these can be found in Beach Board.This experimental data pertains to case 1 (k2=700 N/m). Since this is a weak connection, the frequencies pertaining to the peaks in the graphs are good estimates to the natural frequencies (on) of Vk1/m₁ and vk3/m2 . Apply the half-power-bandwidth method to estimate the damping factors sigma₁(use data X₁/F1)and sigma3 (use data X2/F2). 2) Using Simulink, create a block diagram corresponding to Figure 1. Apply an initial displacement of 0.1m on m². Plot the displacements (with respect to time 0-10s) of m₁ and m². Solve for case 1 and case 2. 3) Calculate and plot the Frequency Response Function (FRF) for X₁/F₁ for case2 (k₂=5000 N/m). Compare the FRF with that of case 1. Can good estimates for- and §₁ be estimated using case 2 data?m1 4) Set all of the damping, ci's, to zero and derive the equation of motion by applying Lagrange equation.