Energy Conservation in SHM

Energy Conservation in SHM

### Formula

$$E=K+U$$

### Expanded Form

$$\frac{1}{2}m\omega^2A^2=\frac{1}{2}m\omega^2(A^2-x^2)+\frac{1}{2}m\omega^2x^2$$

### Conditions / Special Cases

At mean position:

$$K=E$$

$$U=0$$

At extreme position:

$$K=0$$

$$U=E$$

### Usage

- Used in SHM energy problems.