(Solved): 1 Ns/m 3 N/m 00004 2 kg 4 Kg Frictionless Fig. 2 Translational mechanical system. Q2. If the transl ...

1 Ns/m 3 N/m 00004 2 kg 4 Kg Frictionless Fig. 2 Translational mechanical system. Q2. If the translational mechanical system shown in Fig. 2 has equation of motion after Laplace transformation: (2s? + s + 3)X,(s) - 3Xz(s) = 0 -3X,(s) + (4s2 + 3)X2(s) = F(s) a. Write the differential equations for the system. b. Write the state equations c. In vector-matrix form x = AX + Bu and y = Cx, write the matrix A, B and C. (Select x1, V1, X2, and v2 as state variables and xz(t) as the output.) [3.5 marks]