Find the displacement of a simple harmonic oscillator at which its PE is half of the maximum energy of the oscillator.

Explanation

To find the displacement of a simple harmonic oscillator (SHO) at which its potential energy (PE) is half of the maximum energy, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Energy Relationships**:
- The potential energy (PE) of a simple harmonic oscillator is given by:
\[
PE = \frac{1}{2} m \omega^2 x^2
...