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The difficulty in resolution of adding weight and maintaining dynamicity of the gun is part of the reason why the 686 series guns are considered field guns. They're designed lighter than target guns. And MrModelle is dead on about the polar moments of inertia. Unless you want to get into calculus, you'll have a hell of a time trying to get the balance/weight relation to work out. And even if you do the math, you'll still have the problem of trying to get the weight into the gun in the proper distribution.
 
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