Oscillation of two physical pendulums held by a rod

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