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  1. An oscillation is a back and forth motion of an object between two points of deformation. An oscillation may create a wave, which is a disturbance that propagates from where it was created. The simplest type of oscillations and waves are related to systems that can be described by Hooke’s law.

  2. We begin by studying the type of force that underlies the simplest oscillations and waves. We will then expand our exploration of oscillatory motion and waves to include concepts such as simple harmonic motion, uniform circular motion, and damped harmonic motion.

  3. 6CHAPTER 15. OSCILLATORY MOTION. SOLUTIONS OF SELECTED PROBLEMS Where A is the amplitude without damping and A e−bt/2m is the amplitude with damp-ing at a time t. After one period the amplitude becomes A e−b(t+T)/2m and the fractional change ∆A/A is then: ∆A A = A e−bt/2m −A e −b(t+T)/2m A e−bt/2m = A e −bt/ 2m1−e bT/ A e− ...

  4. 15.1 Simple Harmonic Motion. Periodic motion is a repeating oscillation. The time for one oscillation is the period T and the number of oscillations per unit time is the frequency f. These quantities are related by \(f = \frac{1}{T}\).

  5. Its function is to dampen wind-driven oscillations of the building by oscillating at the same frequency as the building is being driven—the driving force is transferred to the object, which oscillates instead of the entire building.

  6. The motion of a simple harmonic oscillator can be observed by using a position sensor attached to a data logger. Using the data logger you can form a graph of displacement against time as shown below: The exact displacement-time graph for a simple harmonic oscillator is described using the following equation:

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