When is an oscillation called simple harmonic motion?

Explanation

Simple harmonic motion (SHM) is a type of oscillatory motion in which the acceleration of the system is directly proportional to the displacement from the equilibrium position and is always directed towards it. The restoring force acting on the system is also directly proportional to the displacement and is always directed towards the equilibrium position. Mathematically, this can be represented as:a = -ω²xwhere a is the acceleration, x is the displacement from the equilibrium position, and ω is the angular frequency of the oscillation.The negative sign in the equation represents the fact that the acceleration is always directed towards the equilibrium position. This means that when the displacement is positive, the acceleration is negative, and when the displacement is negative, the acceleration is positive. Therefore, the acceleration is directly proportional to -x.