Simple harmonic motion occurs only if the restoring force is directly proportional to the first power of the displacement.

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This is one of the defining characteristics of simple harmonic motion. In mathematical terms, it means that the equation of the restoring force is of the form F = -kx, where x is the displacement from equilibrium and k is a constant known as the spring constant or force constant.

Simple Harmonic Motion Occurs Only If the Restoring Force Is