A force does not work, when

**the displacement is zero**: When the displacement in the direction of the force is zero by the definition of work, w=F×d = F×0 = 0 joules. The examples are, standing the whole day on the ground, pushing the walls of a house.

**the displacement is perpendicular to the direction of the force:**When displacement is perpendicular to force applied. This means only one thing. The displacement on the body is not caused by the force we are taking into consideration.**Actually, the work done is calculated using the formula, W = F×s×cos(θ)**, where θ is the angle between force and displacement as shown in the figure

Now if the displacement is perpendicular to the force i.e., θ = 90°, we get

**W = F×s×cos(θ) = F×s×cos(90°) = F×s×0 = 0**