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Learning Introductory Physics with Activities

Section 15.1 Simple Harmonic Motion

The next situation to which you will apply and adapt your physics model is oscillatory motion: any back-and-forth motion that regularly repeats in time.

Exercises Warm-up Activity

1.

Make a list of everyday examples of oscillatory motion you have experienced. What commonalities do you notice between them? How common do you think oscillatory motion is in the real world?
Figure 15.1.1. A simple pendulum oscillates around its equilibrium position.
Oscillatory motion occurs when an object is displaced away from a stable equilibrium such that a net force acts to return the object to this resting position. The forces that lead to oscillatory motion are typically called restoring forces. A restoring force always acts opposite an object’s displacement from equilibrium. Hooke’s Law, in which the force is directly proportional to displacement, is the canonical example restoring force.
This most fundamental oscillatory motion, simple harmonic motion, can be described by a sine or cosine function. More complicated oscillatory motion can be described either as a sum of sinusoidal functions or as a sinusoidal function multiplied by other functions such as exponential functions.

References References

[1]
Pendulum Figure by Ideophagous published by Wikimedia Commons, the free media repository under Creative Commons Attribution-Share Alike 4.0 International.