[Very Easy] Factors, Divisors and Mechanical Advantage

AI Thread Summary
The discussion focuses on the mechanical advantage of a lever, which is stated to be 0.08, indicating that force is diminished while distance is increased. The equation presented, Work input = Work output, leads to the conclusion that distance 'd' must be multiplied by 1/0.8 to maintain equality. This can also be interpreted as dividing 'd' by 0.8, although the latter explanation is considered less clear. A specific example using values for force and distance is provided, but confusion arises regarding the addition operation in the calculations. The thread highlights the importance of understanding the relationship between force, distance, and mechanical advantage in levers.
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Homework Statement


The mechanical advantage of a lever is 0.08; force is not amplified, it is simply diminished; distance, however, is increased:

Work input = Work output
F x d = F x d
F x d = 0.8F x ?(d)

This must be a really basic question, but I'm compelled to ask as I'm somewhat innumerate - what's 'd' multiplied or divided by for the equation to be true?
 
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d is multiplied by 1/0.8
so that it cancels the 0.8 alongside the F
to leave you with F x d as before

which is the same as saying d is divided by 0.8, though, to me, not as clear.
 
Really? Presume f = 2, d = 4:

F x D = F x D
2 x 4 = 0.8(2) + 1.25(4)
8 = 1.6 + 5
8 = 6.6

?
 
Where did that addition operation spring from?
 

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