Abstract
By calculating the kinetic and potential energies, applying Lagrangian mechanics, with the Euler-Lagrange equations, we obtained the equations that were used to analyze the pendulum motion of a mechanical system consisting of an arrangement of three rigid rods, two of them with equal mass m and length l, which behave like physical pendulums, which are joined by means of a third, a rigid rod of mass M and length L. In the latter, there is a square block of mass M a and length L a that can be moved freely on the horizontal rod. The block contains a granular medium that is dislodged over time, thus forcing the vertical rods to generate a peculiar vibrational motion. Finally, the system of equations of motion, by numerical methods was solved.
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