Potential Energy in SHM

Rarely Tested

Potential Energy in SHM

### Formula

$$U=\frac{1}{2}kx^2$$

### Alternative Form

$$U=\frac{1}{2}m\omega^2x^2$$

### Conditions / Special Cases

Maximum potential energy at extreme position:

$$x=A$$

$$U_{max}=\frac{1}{2}kA^2$$

### Usage

- Used in energy distribution problems.

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