Final answer:
Hooke's law describes the linear relationship between force and displacement for small deformations, F = -kx. Simple harmonic motion is the oscillation of a system where the restoring force is proportional to the displacement, characterized by equal amplitudes on either side of the equilibrium.
Step-by-step explanation:
Hooke's Law and Simple Harmonic Motion
Hooke's law states that for small deformations, the size of the deformation is proportional to the applied force. This can be described mathematically as F = -kx, where F represents the restoring force, x is the displacement from equilibrium, and k is the force constant of the system.
Simple harmonic motion (SHM) is an oscillatory motion of a system where the net force can be described exclusively by Hooke's law. Such a system is also known as a simple harmonic oscillator. If there is no damping (by friction or other non-conservative forces), the oscillator will have equal displacement on either side of the equilibrium position. The maximum displacement from this position is referred to as the amplitude. The energy in simple harmonic motion is related to the amplitude; greater amplitude means higher energy in the oscillation.