We will have the following:
We will have that Hook's law describes systems of springs with masses atteched to them and models the nature of the force and position of such masses by the relationshipt between them. Hook's law applies only to spring systems and is linear in nature.
Simple harmonic motion models repetitive movement back and forth through an equilibrium, or central position. Hook's law is one of the multiple instances of simple harmonic motion. Simple harmonic motion not only is able to model srpings, but waves and periodic movements.
