Searching the SDMB, I know at least one person is familiar with the floating-arm trebuchet. (A trebuchet is a catapult that uses a see-saw counter balance & sling to hurl stuff.) I know that hinging the counter weight to make its drop closer to vertical increases range. I know that, according to google searches, putting the machine on wheels to even more closely approximate a vertical drop for the counter weight improves range by about 33%. (I’m not going back to find the cite, sorry.) But I cannot figure out how much farther a modern floating-arm trebuchet would do over a historical trebuchet, for parameters that are roughly comparable.
Obviously, there are design choices that are going to change the results and prevent a perfect answer. With that in mind, I’m asking, for similar projectiles, weights, and amounts of wood (I guess), how much farther can a floating-arm trebuchet toss an object? Roughly speaking.