Consider the mechanical systems shown below. In the below table, you will see your version and parameters of your system. a) Draw free body diagrams of each masses b) Write mathematical models (Differential equations) for each masses. c) Obtain state-space model of the system. The inputs are forces f1, f3 and outputs are translations y1, y2, y3. m1 (kg)=4 m2 (kg)=7_m3 (kg)=2 k1 (N/m)=9 k2 (N/m)=19 k3 (N/m)=29 b1 (N/m/s)=5 b2 (N/m/s) =6 b Y+ m Y2+ k W b m ][ m3 f3 k3