What is the difference between periodic motion and simple harmonic motion?

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Periodic Motion Simple Harmonic Motion $(SHM)$
$(1)$ All $SHM$ is periodic motion,but not all periodic motion is $SHM$. $(1)$ $SHM$ is a specific type of periodic motion.
$(2)$ The restoring force is not necessarily proportional to the displacement from the mean position. $(2)$ The restoring force is always directly proportional to the displacement and directed towards the mean position $(F = -kx)$.

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