Answer:
Explanation:
Check the attachment.
By the definition of the simple harmonic motion,
The motion of a particle whose acceleration is
1. Always directed towards the center of the motion.
2. Proportional to the distance from center of the motion.
We get, a ∝ -x
where
a = acceleration
x = distance of the particle from center of the motion
- sign says acceleration is in opposite direction of motion
Check the other attachment for proof of a = -ω²x (or a = -ω²y)
x and y are both use to denote distance from center of the motion