![]() They are very useful in visualizing waves associated with simple harmonic motion, including visualizing how waves add with one another. A good example of SHM is an object with mass m attached to a spring on a frictionless surface, as shown in Figure. The most important point here is that these relationships are valid for all simple harmonic motion. In simple harmonic motion, the acceleration of the system, and therefore the net force, is proportional to the displacement and acts in the opposite direction of the displacement. Note that the initial position has the vertical displacement at its maximum value \(X\) \(v\) is initially zero and then negative as the object moves down and the initial acceleration is negative, back toward the equilibrium position and becomes zero at that point. The net force on the object can be described by Hooke’s law, and so the object undergoes simple harmonic motion. Certainly, three examples of Simple Harmonic Motion are: 1) The oscillation of a mass on a spring, 2) The motion of a pendulum, and 3) The vibration of a guitar string. ![]()
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