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?