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YodasLuke wrote ..
Moment of inertia should always be discussed relative to an axis of rotation. This axis might run through the Cg(m) or it might not. The pivot axis does not go through the human Cg(m), making MOI and axis important in this case as well. In the golf club case, the MOI is usually discussed about the club shaft axis, since we have our hands attached to it. The clubshaft MUST leave the plane
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An accurate description but the conclusion is not an absolute. This makes several assumptions IMO:
1. That the shaft is being rotate external to the source of force.
2. That the center line must oriented to point or have a relationship on a tangential straight line from its initial reference at all times.
I need to think some more on this. I know where you are going with this but I am not sure you can establish this as an absolute. The hatchet, it goes end over end more like in an elliptical orbit as it goes forward, not quite what I would equate to the golf club.
For anyone who doesn't believe that the this invisible line doesn't exist, probably doesn't believe that gravity exist.JMO.