i've built a trebuchet before. The one fatal flaw that cost us was the sling, it needed a four point support system instead of just two. The projectile kept falling out of the side xd.
Catapults are good, but don't really take full advantage of the physics behind a giant falling mass.
A few things to go for with a trebuchet:
- make the arm as light as possible. For the arm on my small one we used a 1x4. We left the end holding the counterweight full width, but tapered it about 1.5 cm past the axle on the side with the projectile. Barely even took a tap to move that arm.
- wheels make your trebuchet shoot farther, provided it actually moves. It allow the counterweight to drop in a straighter path.
- keep the projectile going in a straight line off the base. Otherwise it will veer. Use a curved trough to help centre it.
- spherical shaped projectiles work the best with either a trebuchet or catapult. You don't really know what orientation the shape will leave the machine at and so it's better to have an aerodynamically consistent projectile, instead of a pointy one that heads out the wrong way and creates so much drag it falls short.
- when you pick a sling length, experiment. If it's too long the projectile will still be in the sling when your counterweight stops giving power, too short and you're wasting some of the energy. You need to find a perfect balance.
Trebuchets are plenty accurate, even more over long distances. They can throw much farther then catapults. They're a bit more complicated but when done right they work wonders. I can tell you the specifics about how to put it together if you wish.