Question

Determine the work in angle 30 degree

Answer 1

HELLO THERE!

First, let me tell you, that Work is said to be done when a body displaces along the direction of force applied.

If a coolie is walking with a load on his head, he is not doing any (maximum) work. This is because he is applying force downwards to hold the box (and force of gravity on the box is also acting downwards), while he is moving forward (displacement is in forward direction).

In case force is applied at any angle, and displacement takes place in other direction, i.e., the direction of force and displacement is not same, we always take the base component of the force in the direction of the displacement to calculate the work done.

And, the base component of the force is F cos θ.

So, from Work done = Force x Displacement,

Now we have W = F cos θ x S

or W = F S cos θ

In your question, the angle between force and displacement (θ) = 30°.

So, Work = F. S. cos 30

We know, that cos 30 = √3/2

So, W = F × S × √3/2

or,

$W = \frac{\sqrt{3}(F\times S)}{2}$

HOPE MY ANSWER IS SATISFACTORY..

THANKS!