The work done by a force is defined to be the product of component of the force in the direction of the displacement and the magnitude of this displacement.
| W = (F cos θ )d = F.d |
We understand from the work equation that if there is no displacement, there is no work done, irrespective of how large the force is. To summarize, we can say that no work is done if:
- the displacement is zero
- the force is zero
- the force and displacement are mutually perpendicular to each other.