# Oscillation Of The Pendulum

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OBJECTIVE:
The pump is made of pendulum, two-leg lever and cylinder with the piston which pumps the water. Oscillation of the pendulum is maintained by periodical action of the human arm. Oscillation period of the pendulum is twice bigger than the period of the lever oscillation. Piston of the pump has reverse effect on the lever and damps its oscillation. Damping of the lever motion causes damping of the pendulum, but the work of the force damping the pendulum is less than the work of the forces which damp the lever. Equilibrium position of the lever is horizontal, and the equilibrium position of the pendulum is vertical. Oscillation of the lever and the pendulum take place in the same plane, vertical in reference to the ground. Physical model
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The lever oscillates forcedly, not freely but in a condition of damping its movement. One can assume that the total mass of the lever is in the point where the user system reacts. This equivalent material point of the lever has a variable kinetic energy in reference to the ground. But the lever is periodically changing the direction of the rotation around its axis. This periodical change of the direction is fully depending on the oscillations of the pendulum, so the lever does not have its own oscillation …show more content…
This loss is the consequence of the work of the forces damping the oscillations of the pendulum. Total loss of the oscillation energy of the pendulum depends on the work of radial damping force of the pendulum AP, and the work of orbital damping forces of the pendulum AFP, which results from friction on the pendulum axis and the resistance of air:

EO = AP + AFP (6)

EFFECT OF FREE ENERGY OF THE PENDULUM-LEVER OSCILLATING SYSTEM:

Where only the lever is loaded by reverse action of the user system, is based on two key properties of this oscillation system. First is related to the fact that the lever does not have its own oscillation energy, and the second to the fact that the work of the orbital damping force of the lever is greater than the work of the radial damping force of the