So how do you think he might have discovered this? This is very important for the wheel.
This is undisputed math.
Well it was easy, take your beam 1 metre section x 6 section with a 1 metre short end giving you 5 to 1 and take each beam section so that they are 0.5 kilos each, 0.5 at the short end and 2.5 total at the long end.
So it is 5 to 1length and weighted correctly , now put 2 kilos on the short end and 10 kilos on the long end and what do you have? You have ten kilos lifting 2 correct
So you have 5 to 1 lift correct? Wrong.. keep reading
So now weld these two weights in place so they are now part of the beam, now what do you have? A 5 to 1 length lever, with a 5 to 1 weight ratio to match, you simply did what was done previously. So the lever is still 5 to 1 ratio but now has 20 to 1 power as well simply by increasing the torque because the new beam, or Egyptian fulcrum does not distribute the weight on one side evenly. the beam is now 2.5 to 12.5 in weight or 5 to 1 the length is still 1 metre to 5 metres.
So is it really more powerful?
Well the reset cost is the same as a standard beam, but it can lift more weight, so yes if the cost has not increased for reset only the torque has increased “AT NO COST”. So it is more powerful
Can a standard beam 2.5 kilos per section lift its own reset weight plus 5 to 1? NO, so who has the most powerful beam? We do. And that cannot be argued. Our beam will do more, so if the text books say that a standard beam’s maximum power for 5 to 1 length and 5 to 1 beam weight is 5 to 1 lift they are wrong.
if the weight distribution on the extended end changes the torque changes, but the reset does not because it is a dead weight lift, not leverage.
Archimedes: “Give me a lever and I shall move the world.”
(Only if you understand what Archimedes did, torque!!)
It is no good knowing simply how to build a cannon, you cannot lay claim that that is its limit, when the ball is a piston and the cannon a combustion chamber. They Newtonians simply did not see how to apply the weights as torque, just as the Chinese did not see that they had invented the basis for the combustion engine.

The Mystery of the Archimedes Claw as solved by
Archer Quinn
So before we go back to the build, I will tell you one of the worlds great mysteries, the Archimedes Claw, this was a device for lifting ships from the water at docks to sink enemy ships. To this day no one ever read what we wrote. he said that it started low to the ground.
This would make sense, as any ship see some great contraption and having heard any stories would certainly not have parked their ship in front of it. it was level with the dock, in fact it was probably walked over as a dockside board, this great hidden beam. which was no other than a high torque lever. the distance required to get sufficient leverage to lift a ship would be huge, so it was simply adjusted at torque level the same as the Egyptian fulcrum.
As much length as they could manage across the docks, and then simply strip the beam itself back to create huge torque without increasing the leverage weight. to make a 20 ton lift by forcing the rear under water is too great a task to move the counter weight, but at 20 to 1, tem men could stand on the counterweight and lift the 20 ton.
So how did it make the height lift? any ship raised 3 or 4 metres at the front would sink from the rear, they simply needed a 4 mtere pole or giant bollard standing on the end of the lever. In fact the enemy may well have tied themselves to the machine. The height required would simply depend upon the water level from the docks. If i was building one i would ensue the dock height covered the needed lift, the rear being on land need only a pit for the lever to turn.
“It was low to the ground and it caught them by surprise.”
It was the Egyptian fulcrum in it finest hour. Perhaps they will torque of at least one of my discoveries in the years to come.
Although it seems a pity for so many to claim they always knew this yet not one machine in history reflects this knowledge outside Archimedes himself until now.
I often wondered at the slight understatement by him " it caught them by surprise" do you think as the dock itself came to life as a giant section rose up and ripped the ship out of the water, the claw operators yelled out "Surprise"