The point is that we don't know the torque available at the rocker arm.
If we knew that we could do ALL the arithmetic, well more of it.
What we DO know is what the manufacturers tell us and what we can measure.
On my tractor the lower link arms are 33 inches long and whatever the unknown torque available at the rocker arm is results in a quoted available lift force at the eyes.
I don't have the specs in front of me, but from memory it is about ~2500 lbs.
THIS is the effective lever;
O_________33_______^_______24____^
front......................2500 lbs...............x
eye;......................rear eye;
Solve for x.
In "fact" it is two levers, each supporting half the load, but we can represent them as one lever with the full load (-:
Hence the 33/57 arithmetic for 24 inches beyond the eyes.
YES, it is a shortcut, BUT it is accurate (accurate enough).
There is an unknown mechanism about halfway along the lower lift arm, it's details are irrelevant but some of it could be deduced,
e.g. IF the side link is AT the half way point then it would need to have a lifting force of 5,000 lbs (yeah, so what ?).
Similarly, if you measured the length of the rock shaft's arm and it;s angle to the side link (it almost certainly passes through 90 degrees) you could calculate the needed torque (again, "Yeah, so what ?).
Golly Gee; a few more details about the internal geometry and you could get all the way back to a recommended relief valve pressure (-:
Forget the lab scales, similarly forget any ideas about lifting 2000 lbs on an 8ft boom pole.
(-:
EDIT:
If you have a ASC flyer go to page 36.
They have "Lower Link Arms", which I have been calling "Lower Lift Arms".
Anyway, they are described as Cat 1 and 32 inches eye to eye.
I don't know how universal the Cat 1 spec is when it comes to this part, but an interesting thing about this part is that it has THREE(3) holes near it's center, I'm fairly sure mine have only one.
With these I could trade lift capacity for lift height (lift "range") simply by connecting the side links to different holes in the Link Arms.
Their on line catalogue item #11918 is here;
http://www.agrisupply.com/product.asp?pn=11918&sid=&eid=
:END EDIT