Trebuchet: Projectile Arm Length to Counterweight Arm Length Ratio

AI Thread Summary
For a mid-size trebuchet with a 3-foot projectile arm and a counterweight of 3500 grams, the optimal arm length ratio depends on the weight ratio of the projectile to the counterweight. The projectile weighs 60 grams, indicating a significant difference in weight that affects performance. Calculating the best arm length ratio involves understanding the mechanics of trebuchet design, including the leverage and energy transfer principles. Users are encouraged to explore trebuchet calculators available online for precise calculations. Properly determining the ratio will enhance the trebuchet's efficiency and effectiveness in launching projectiles.
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I am working on creating a mid size trebuchet with a projectile arm length of 3 feet. The counterweight is about 3500 grams, with the projectile being 60 grams.

I know that the ratio of the projectile arm length to the counterweight arm length changes depending on several factors, most importantly the ratio of the weight of the projectile to the weight of the counterweight.

Using the specs I have given, what would be the best arm length ratio between the projectile arm and the counterweight arm? Or what would be the process for calculating this?
 
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