![]() ![]() ![]() The amplitude is simply the maximum displacement of the object from the equilibrium position. How does this relate to simple harmonic motion? An object experiencing simple harmonic motion is traveling in one dimension, and its one-dimensional motion is given by an equation of the form ![]() Plugging this in to the x and y positions makes it clear that these are the equations giving the coordinates of the object at any point in time, assuming the object was at the position x = r on the x-axis at time = 0: The motion is uniform circular motion, meaning that the angular velocity is constant, and the angular displacement is related to the angular velocity by the equation: This is two-dimensional motion, and the x and y position of the object at any time can be found by applying the equations: Consider an object experiencing uniform circular motion, such as a mass sitting on the edge of a rotating turntable. It might seem like we've started a topic that is completely unrelated to what we've done previously however, there is a close connection between circular motion and simple harmonic motion. The connection between uniform circular motion and SHM Simple harmonic motion Simple harmonic motion ![]()
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