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Calculation of Work Done by Force Displacement Graph

Let a body, whose initial position is xi, is acted upon by a variable force (whose magnitude is changing continuously) and consequently the body acquires its final position xf (Fig. 5).
 
39162.png
Fig. 5
 
39156.png
∴ 39150.png
39144.png
= Area under curve between xi and xf
 
i.e., area under force displacement curve with proper algebraic sign represents work done by the force.




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