Rolling Motion Energy

Rolling Motion Energy

### Formula

$$K=\frac{1}{2}Mv^2+\frac{1}{2}I\omega^2$$

### Pure Rolling Condition

$$v=\omega R$$

### Terminologies

- M → Mass of body.

- v → Linear velocity.

- I → Moment of inertia.

- ω → Angular velocity.

- R → Radius of rolling body.

### Conditions / Special Cases

For rolling without slipping:

$$v_{CM}=\omega R$$

### Usage

- Used in rolling body problems.