Problem 1 [50 pts] Consider a beam that can be described by Euler-Bernoulli Beam ODE E/ dirt = q(x). Assume the beam 10 meters long, has an area moment of inertial of 8e-5 m , has one fixed-end boundary condition (w* = 0 and w = 0), and one pinned-end boundary condition (w" = 0 and w = 0). If we make measurements of the displacement as illustrated in the HW4_Pl.png file, what is the beam made of? . Assume a constant load of -10kN/m on top of the beam. Deliverables (Submit the code electronically as LastName_Probleml.mad as a PDF file publication) . Code implementation in MATLAB opens the image file and allows you to manually pick and build the displacement profile of the beam, then use the displacement profile to compare with the beam solution for a range of appropriate materials. A comment at the end of the MATLAB code identifies the material based on elastic modulus and know (you can find a list of material properties at: https://www.engineeringtoolbox.com/young-modulus-d_417.html)