What should be the angle between force and displacement to get the work (ii) minimum?

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Solution

Find the angle for minimum work:
The formula to find Work done is
$W = F s \cos θ$
$W -$ Work done
$F -$ Force
$s -$ Displacement
$θ -$ The angle between force and displacement.
The minimum value for $\cos i n e$ is at $θ = 90^{°}$
Substitute $θ = 90^{°}$ in the formula
$W = F s \cos 90 °$ (Substitute $\cos 90 ° = 0$ )
$W = 0$
The work will be minimum if the angle between force and displacement is at $θ = 90^{°}$ .

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A force F acts on a body and displaces it by a distance S in a direction at an angle $θ$ with the direction of force.

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What should be the angle between force and the displacement for maximum and minimum work?

In order to get minimum work, the angle between force and displacement should be $90 °$ .

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