If acceleration `prop` displacement, will that be a sufficient condition for simple harmonic motion ?

Explanation

To determine whether acceleration being proportional to displacement is a sufficient condition for simple harmonic motion (SHM), we can analyze the relationship mathematically and conceptually.

### Step-by-Step Solution:

1. **Understanding the Relationship**:
- In SHM, the acceleration \( a \) is given by the equation:
\[
a = -k x
...