Consider that a 1000N external force is exerted at node 2 in the positive x direction in addition to the force already exerted at node 3 as shown in Figure 1. The spring stiffnesses in the figure are given in N/mm. Using the direct stiffness method for the spring assemblage given in Figure 1, a) Draw the free-body diagram which is inclusive of the additional force and its location as well as labels for each of the spring elements b) The nodal displacements c) The forces in each element d) The reactions [6 Marks] [22 Marks] [15 Marks] [7 Marks] 300 400 500 300 1000 N 2 w 400 wwwwwwwwww Figure 1