The time period T, of an object performing simple harmonic motion, is the time it takes for a system to go through one full oscillation and return to its equilibrium position. There are various equations used to describe a mass performing simple harmonic motion. What are the equations for simple harmonic motion? Hence, the acceleration in simple harmonic motion is proportional to the displacement and has the opposite direction (see below where x is the distance of a mass oscillating from its equilibrium position).
Hooke's law has the same form as Newton's second law, where mass is the reciprocal of the spring's stiffness and acceleration is the reciprocal of the negative displacement.
