Today, I used a pedagogical paradigm that I have invented in order to explain to some college students the relationship between mechanical and electromagnetic oscillations in the voltage analogy.
We know that the L of the electromagnetic oscillation reflects to the mass m of the mechanical oscillation, while 1/C reflects to the springs stiffness k or s and also R to the b coefficient of damping. All together, under the presence of a force, oscillate creating waves of various types.
Using the swimmer’s analogy:
We know that every swimmer has a distinct potential due to the different physical state he or she may possess. Potential is the ability to produce consumable energy and thus work, distinct to each different swimmer.
A swimmer acts a force with his hands on the water’s mass resulting in moving his own mass forward. His mass represents the inductance, while his lungs’ capacity is the oxygen’s buffer, to be used from his body, to be burned on his muscles, that pushes him to the next breathing cycle and also forward. While his hands are deep inside the water pushing it back, that moment acceleration on his mass is at its minimum, while the oxygen storage is almost at zero. While his hands come out and before the next stroke he gets a new very deep breath of air and with the new oxygen’s mass (charge) at the maximum he exerts the maximum force on the water while sinking his hands inside it having at the moment the maximum acceleration. The friction of his body with water is of course the damping factor, the electrical resistance so to say. And from all that, water waves come.
Studies have shown that our body’s performance is at its maximum on a specific task if we are able to tune the rhythm, duration and depth of our breathing to the emerging demands of the task undertaken. In athletics, where a rhythm almost always must be followed or kept, our ability to tune our breathing oxygen-burning rhythm with our efforts to tackle with dynamic patterns of the external task's rhythm determines our performance. The closer the external task comes to an oscillatory or harmonic pattern the harder for us to well-tune our oxygen-burn/body-motion rhythm to the external demands so to maximize the produced work while performing against a given resistive/damping force. For example friction, while jogging.
Other extensions of the L-R-C / m-b-k paradigm may be used to explain behavioral aspects of our intelligent existence, or help to study them. The Soul-Brain-Mind core triplet of our existence for example, may be well considered as the fundamental oscillatory motional system for our internal energy that when controlled or tuned, a happy living is reached. For that control to be achieved, free-will and its meaning must be first acknowledged as the fundamental trigger for this oscillation. And although we neither choose the time nor the place of our birth and/or death, free-will seems to be above all other triggers the most precious, the misuse of which usually result in personal or social break-downs.