I need the answer in full, show all steps and explainations and don't use AI (chatgpt solutions). Handwritten solution only please . A spring system with arbitrarily numbered nodes is shown in a figure (not included). A force of 6000 lb is applied at node 4. The spring constants are k1 = 2000 lb/in, k2 = 4000 lb/in, and k3 = 1000 lb/in. Nodes 1 and 2 are fixed supports. The positive direction is taken to be to the right along the x-axis.

Using the finite element method, determine the following quantities:

a) The global stiffness matrix for the system b) The displacements at nodes 3 and 4 (using Hooke's Law as needed) c) The reaction forces at nodes 1 and 2 and the internal force in each individual spring

3 4 O 2 X A B 6000 lb C