Energy Distribution in SHM

Energy Distribution in SHM

### Total Energy

$$E=\frac12m\omega^2A^2$$

### Kinetic Energy

$$K=E\left(1-\frac{x^2}{A^2}\right)$$

### Potential Energy

$$U=E\frac{x^2}{A^2}$$

### Conditions / Special Cases

At:

$$x=0$$

$$K=E,\ U=0$$

At:

$$x=A$$

$$K=0,\ U=E$$

### Usage

- Used in SHM energy distribution problems.