![]() ![]() ![]() ![]() 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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