Simple Harmonic Motion

Why does a linear restoring force produce sinusoidal motion and periodic energy exchange?

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Why does a linear restoring force produce sinusoidal motion and periodic energy exchange?

Build the conceptual model first, then test the same idea through the linked scientific representation or tool.

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For an ideal mass-spring system, Hooke's law and Newton's second law give a second-order differential equation with sinusoidal solutions.