overshoot - when it gets back to the stable point, there is no force to stop it at so it keeps on going past.a restoring force - when there is a displacement from the stable point in any direction the force changes so that it pushes it back towards the stable point, and.a stable point - a point where all forces are balanced,.Physically, the key conceptual ideas were that an oscillation arises from Mathematically, the solution came out to be proportional to a sine or cosine function of the time, with various dimensioned constants put in to make the units come out right. We found that despite the fact that the force was continually changing (dependent on position), that there was a fairly simple solution, both mathematically and physically. In our discussion of a simple harmonic oscillator ( mass on a spring, the pendulum), as is usual in physics, we began our analysis by assuming idealizations: an ideal spring satisfying Hooke’s law, no resistive forces (friction, viscosity, drag), etc., etc. To understand the mechanism how this works, we'll first consider the simplest example of a damped oscillator, and then, in the follow-on, we'll explore the important phenomenon of resonance - how a damped oscillator interacts with a driving force. How energy is transferred between the vibrating fluid and the fiber depends not just on its natural frequency $\omega_0$), but on the viscosity of the fluid in which the fibers move. These vibrations cause small oscillators (hair fibers) in the inner ear to vibrate, creating nerve signals. External sound waves (traveling vibrations) creating waves in the fluid in the inner ear. Perhaps the most important application of simple oscillators in biology is hearing.
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