Energy in SHM

Energy in SHM

### Total Energy

$$E=\frac{1}{2}kA^2$$

### Alternative Form

$$E=\frac{1}{2}m\omega^2A^2$$

### Terminologies

- E → Total mechanical energy.

- A → Amplitude.

### Conditions / Special Cases

Total energy remains constant in ideal SHM.

$$E=constant$$

### Usage

- Used in energy-based SHM problems.