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From: Osher Doctorow on 7 Jul 2010 23:36
From Osher Doctorow

See Wikipedia's "Mechanical Advantage" online for example.

Mechanical Advantage MA can be defined as:

1) MA = Fo/Fi where Fo is output force, Fi is input force. It turns
out that:

2) MA = di/do, where di is distance through which effort of operator
is applied, do is distance over which the load (weight, etc.) is
moved.

The equation is then:

3) Fo/Fi = di/do, or Fodo = Fidi

For a simple moveable pulley, for example, MA = 2, for example the
operator pulls the cord with a force that is half the weight of the
hanging object to be lifted. The operator pulls the cord twice as
far as the load is lifted.

So this is where MA relates to Forces and distances.

If we consider the optimal Probabilistic MA in the previous
subsections given by:

4) dP(B)/d(A) = 2

we can write:

5) dP(B)/d(A) = 2 = Fo/Fi = di/do

Osher Doctorow
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