1. The system shown in the diagram below consists of n linear springs that support n masses. The spring stiffnesses are denoted by ki, the weights of the masses are Wi, and the displacements of the masses (from the undeformed spring positions) are x. Assume the springs to be massless and that every spring follows the equation F = kx. The displacement formulation is obtained by writing the equilibrium equation ofeach mass and substituting Fi = ki(XM-Xi) for the spring forces. The result is the symmetric, tridiagonal set of equations Assume all spring constants k to be 12 N/mm. Weight W4 is 50 N and every subsequent weight is 10% higher. Write a Python code that does the following: Runs a loop to vary the number of springs n from 4 to 24 Finds and prints the total elongation of the spring system, the spring that undergoes the maximum elongation, and the value of that maximum elongation along with units, for every value of n Plot a graph showing the variation of the maximum elongation value against the number of springs n a. b. k. k3 c. kn 120 W 3