Consider the system shown in Figure Q2. The variables of interest are noted on the figure and defined as: M. M = mass of carts, p(t), g(t) = displacement of carts, u(t) = external force acting on system, k, k = spring constants, and bi, b=damping coefficients. Assume that the carts have negligible rolling friction. Obtain the state space matrices. [20 Marks] M gin Cart 2 + Figure 02 M p() Cart I u(1)