Question

A force acts on a body and displaces it by a distance $S$ in a direction at an angle $\theta$ with the direction of force. What should be the value of $\theta$ to get the maximum positive work?

Answer 1

The value of $\theta$ to get maximum positive work

Work done$W=FS\cos \theta$

Here, $F$ is force, $S$ is displacement, $\theta$ is angle of the force that acts on a body.

1. Work done is maximum and positive when $\cos \theta =1$.
2. At zero degree of angle the value of $\cos \theta =1$, i.e., $\theta =0°$.
3. The displacement by the force on the body should be in the same direction of the force acts on that body.

Therefore, the value of $\theta$should be $0°$ to get the maximum positive work