From formulas (7), (8) and (10) obviously that for each specific system the frequency and
period of oscillations remain constant values and depend only on the elastic properties of this
system and the value of the mass. They do not depend on the initial conditions causing the
mass to move and are called the main dynamic characteristics of the system. Let us consider
how the potential and kinetic energy of the system changes during its oscillations (Fig. 6).
When the mass deviates from the position of static equilibrium, its movement is impeded by
the elastic force, slowing down the movement of the mass. At the moment of the greatest
deviation of the mass, its speed is zero and its kinetic energy is zero. At this time, the
potential energy (bending energy) reaches its maximum value and returns the mass to the
equilibrium line with acceleration. By the time the mass is located on the equilibrium line, the
potential energy decreases to zero, but at this time the speed of movement of the mass and its
kinetic energy reach a maximum and the mass continues to move from the equilibrium line,
reaching the maximum deviation in the opposite direction, etc. Thus, when the system
oscillates, one type of energy is converted into another.
Note that the above dependencies and conclusions will be valid for any rod systems with one
degree of freedom with linear mass oscillations.
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