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Side view, showing actuator handle at the top and spring assembly captured between 1X8 plates.  The fixed block is at the top and the floating block slides up and down, at the bottom.

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The cage separated.  The cage was necessary in this first version to keep the floating end captive.
Here is the Block & Tackle mechanism exposed.  See that there are two spring assemblies and four pulleys.  The upper block is fixed by the triangular LEGO piece between the pulleys, the corners of which are attached to the cage.  See that the fishing-line is attached to the bottom of the triangle.  The handle pivots on the same axle as the pulleys.

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At one position, spring relaxed

At the other, spring compressed

So... it's a spring-loaded handle, sort of.  What's it good for?  It would be a great throttle quadrant for an aircraft (even looks like one)!  I would recommend it as cannon lockwork for firing ping-pong balls. 

I have been carrying it around for a week.  The action is silky smooth, and it just ...feels good...  Only a LEGO nut would understand.

But mostly, it is an example of a mechanism we rarely use.  It's a solution looking for a problem.  Let me know if you find a use for it. 

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The LEGO Spooler, elsewhere on my site, uses an inverted Block & Tackle mechanism.  Here, both ends of the film are free at a tension that is constant at 1/4 of the weight, a benefit.  For every cm that the weight rises, 4 cm of film is released.  This increases the controllability of the system a lot, also a benefit.