In a similar fashion to the case study described in Sec. 7.4, develop the potential energy...

In a similar fashion to the case study described in Sec. 7.4, develop the potential energy function for the system depicted in Fig. P7.37. Develop contour and surface plots in MATLAB. Minimize the potential energy function to determine the equilibrium displacements x₁ and x₂ given the forcing function F = 100 N and the parameters k_a = 20 and k_b = 15 N/m.

FIGURE P7.37: Two frictionless masses connected to a wall by a pair oflinear elastic springs.