Two blocks sit on a flat surface, and are connected by a linear spring with spring constant of k. The masses of each block are m, and m2 respectively. Both blocks are subject to friction with the surface. A force is applied horizontally to m1, as shown in the diagram below, causing the entire system to accelerate. F1 k M1 M2 (a) Draw two free-body diagrams, one for each of m, and m2 respectively, showing all forces acting on the blocks in horizontal and vertical directions (b) Write equations of motion in the horizontal direction for both blocks (c) The two-block system has reached a state where both blocks are accelerating at the same rate. You wish to solve for the extension of the spring (represented by x) and the acceleration of the system (represented by a) under these conditions. Write these equations in a matrix form that Matlab could solve. Hint: your answer should look something like this