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Originally Posted by liquidlight
It would be awfully hard to make an effective trebuchet with a 1 meter x 1 meter limitation though, doesn't leave you much room for the counterweight
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You could make a floating arm trebuchet, that way you don't have to worry about room for the counterweight... and it's more effective than the traditional trebuchet.
By the way, are we talking that the whole thing has to be able to fit in a 1m x 1m square, or that the length of the main arm is a meter? Because that could make a huge difference. I built a floating arm trebuchet my senior year for physics that could do something like what you're describing, and the measurement of my arm was less than a meter long... but I can't think how I would've done it had the whole thing been really small.
Edit:
http://www.trebuchet.com/story.php/fat.html
If you decided to build a trebuchet, this would help.