SHM as Projection of Circular Motion

SHM as Projection of Circular Motion

### Formula

$$x=A\cos\omega t$$

### Velocity

$$v=-A\omega\sin\omega t$$

### Acceleration

$$a=-A\omega^2\cos\omega t$$

### Terminologies

- A → Radius of circular motion.

- ω → Angular velocity.

- x → Projection displacement.

### Conditions / Special Cases

- Projection of uniform circular motion on a diameter produces SHM.

### Usage

- Used to derive SHM equations.