Concept:Simple harmonic motion (SHM) is oscillatory motion in which acceleration is directed toward the equilibrium point and proportional to displacement from it.
Explanation:In SHM, the body moves to and fro about a fixed mean position.
The acceleration always points back toward this fixed point.
If
x is the displacement, then
a∝−x, or
a=−ω2x.
So acceleration is not constant and is not proportional to the square of the distance.
A straight-line path alone does not guarantee SHM.
Among the options, the correct condition is that the acceleration is always directed towards a fixed point.
Answer:A. acceleration is always directed towards a fixed point.