Which one of the options represents the mathematical expression for the mechanical advantages of the lever shown below?

FE/FL

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FE+FL

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FLxFE

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Solution

The correct option is C
FLxFE

Step 01: Given-

$H e r e F = F u l c r u m, E = E f f o r t, L = L o a d$
Step 02:Finding mechanical advantage
We know that,
$L o a d \times L o a d a r m = E f f o r t \times E f f o r t a r m \Rightarrow \frac{L o a d}{E f f o r t} = \frac{E f f o r t a r m}{L o a d a r m} - - - - E q u a t i o n (I) S i n c e M A (m e c h a n i c a l a d v a n t a g e) = \frac{L o a d}{E f f o r t} T h e r e f o r e e q u a t i o n (I) b e c o m e s - M A = \frac{E f f o r t a r m}{L o a d a r m} M A = \frac{F E}{F L}$
Hence the correct option is A.

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