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Just to get back to the orginal, or title question, on this I have to agree with Chic and disagree with Mike M. You can indeed have what is more a point weight that yeilds equivelent mass moment of inertia to having the additional weight distributed along the lenght of the arm (in this case the length of the gun if you consider the butt pad to be the axis of rotation).

Happy holidays to all.
 

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Indeed, mass moment of inertia (vice polar moment of inertia) is far and away the most common understanding of "moment of inertia) and is in fact the principle (of the two) that applies to rotation of a shotgun in skeet.
 
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