Due: 09/28/2017 Develop a computer program for determining the static equilibrium position(s) of the system shown below. The program should determine the equilibrium values of g and 2, given values for the quantities ai, bi,nq, Fi, ki, li , xi, and yi , for i = 1, 2. The quantities k, and 1, are the stiffness and free length, respectively, of spring i. Specific test cases are: tenshn (x,y) Test Cases: a, = a2 = 10 inch b, = b2 = 20 inch 11 = 12 = 10 inch w1 = w2 = 12 lbf. k, = k2 = 5 lbf / inch Case 1: x1 = 20 inch, y1 0 inch, x2 20 inch, 2 0 inch F. Case II: x| = 40 inch, y, =0 inch. im =-20 inch. y220 inch Submit a listing of the computer program and the corresponding results for each case metla mathemntica