Calculate Work done in square form?

AI Thread Summary
Work can be calculated in square form similarly to rectangular form by using the area of a square to represent work done. If the force and displacement are equal in length on a graph, the area of the resulting square (Force times Displacement) accurately reflects the work done. Rescaling one or both axes on a graph allows for the conversion of a rectangle into a square without altering the work calculation. Therefore, it is indeed possible to calculate work done in square form. The graphical representation remains valid regardless of the shape used.
arslion
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Homework Statement



can we calculate work done in square form ??as we calculate it in rectangular form.Work done by graphical method is an example..


Homework Equations


In rectangular form
Area = OA x OC = xy = FS
W=A

The Attempt at a Solution



but when we calculate it in square form the area of square is x2.
is it possible ??

check attached image for help


Thanks
http://arslion.blogspot.com"
 

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To quote a famous person, "Yes, we can." If on your Force versus Displacement graph the size of the force is the same length (in centimeters) as the Displacement, then you get a square and the work done by the force is represented as the area of the square, Force times Displacement.

Stated differently, if you have a rectangle, you can always rescale one or the other (or both) of the axes to get a square. This will not in any way change the work done by the force.
 
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