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Illustration Hooke's law - displacement of the spring + restoring force

Hooke Law: Displacement of the spring and restoring force
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Hooke's law is illustrated by an elastic spring to which a mass is attached.The spring is deflected from its rest position by the distance \(y\). Since the spring is stretched, a restoring force \( F \) is exerted on the mass, acting against the displacement.

The restoring force is linear, which means that if you double the displacement \( y \), then the force \( F \) on the mass also doubles:\[ F ~=~ -D \, y \]Here \(D\) is a spring constant characterizing elasticity of the spring.