Please use Matlab to solve this problem! thank you.

Program in MATLAB the Finite Element Model of the beam (modelled with 10 equal length FEs) and determine the first natural frequency of the beam in rad/s. *

Figure shows a simple uniform beam of the length L, constant mass per unit length m, and constant bending stiffness El. The beam is initially held at rest and then is dropped from the horizontal position from the height y-H. When it reaches the level y-0, it collides with the obstacles A and B at x-0 and x-a, which both automatically lock as pins on the beam's matching points A and B, arresting the motion of the beam. Assume the instant of the collision as initial time t-0 and consider the idealized case where there are no energy losses due to friction, impact, etc., and where no rebound occurs at the supports. A uniform beam (shown at the approaching stage (t