At what displacement the kinetic is equal to the potential energy ?

Explanation

To find the displacement at which the kinetic energy (KE) is equal to the potential energy (PE) for a particle performing simple harmonic motion (SHM), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the expressions for KE and PE in SHM**:
- The kinetic energy (KE) of a particle in SHM is given by:
\[
KE = \frac{1}{2} m \omega^2 (a^2 - x^2)
...