Draw a graph to show the variation of PE, KE and total energy of a simple harmonic oscillator with displacement.

Explanation

To solve the problem of drawing the graphs for the potential energy (PE), kinetic energy (KE), and total energy (TE) of a simple harmonic oscillator (SHO) with respect to displacement, we will follow these steps:

### Step 1: Understand the Formulas
1. **Potential Energy (PE)**: The potential energy of a simple harmonic oscillator is given by the formula:
\[ PE = \frac{1}{2} m \omega^2 x^2 \]
where \( m \) is the mass, \( \omega \) is the angular frequency, and \( x \) is the displacement from the mean position.
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