1. "In my view, you can either get the kart to rotate via a leftward force at the front (inefficient -- you're fighting the rear tires and causing scrub at the rear)"
I agree inefficient.
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2. " via a yaw moment at the Cg caused by unweighting the LR so that the RR "pushes" the kart to the left about the Cg."
I think it's impossible for the RR to push the kart around the CG with the LR light. I think 2 is the same as 1, with added inefficiency because of also having to drag the LR.
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3. "or via a yaw moment about the center of the rear axle caused by the stagger in that the RR is trying to cover more ground that the LR because it's bound to the same RPM but has a higher surface speed due to larger diameter."
And that will only work on a perfect circle.
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4. "I prefer to balance the yaw moments so that the stagger isn't excessive and causing major scrub down the long side of the elliptical racing line, and the LR isn't so unweighted that it can no longer contribute to resisting lateral force."
And that's generally what's done sprint or road course racing, per accepted theory about how to get around a corner. The elliptical nature of the sprint and road course thought process, also adds to inefficiency.
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5. "There is one additional way of inducing yaw -- breaking the rear tires loose under power so that centripetal force carries the rear outward and the effective path of travel becomes a midpoint between direction you're pointed and direction you used to be going....see: WoO sprint cars."
IMHO, that is not how WoO winged sprint cars work. That's how people in the stands percieve they work and those who race "real race cars" which turn both left and right think they work.
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6. Then there's the way I explain how a staggered solid axle works, when being used in an ideal way. ...
I don't think you see it Ted, your making it too hard and complicated. It's not about yaw or rotating anything around anything else. It's about being able to physically slow the left end of the axle down via the LR tire being physically engaged with the track, going into the apex. And allowing the right end of the axle to roll around the LR tire, because the RR tire is physically engaged with the track.
Then maintaining the status quo as needed.
Followed by starting your acceleration off of your already loaded smaller low gear LR tire. And on to exiting from the apex by controlling how you push the bigger RR tire into the track, allowing it to continue staying ahead of the LR tire as needed.
Two other cool things about it are you can maintain the length of the apex as needed and your already ready for the next turn with the LR loaded. It's already pre-loaded because by the end of the straight, your by definition going straight.
There ain't no way any Winged sprint car driver wants to slide anything. All they want is grip to put the power to it and go. The only reason you see any dirt car sliding is lack of grip. Ideally when you put the power to it, corner or straight both rear tire will be driving it with maximum grip in the direction you want to go. IMHO, it ain't about matching up slip angles, it's about hitting matching maximum slip ratios at both rear tires, that make the total axle assembly head in the direction you want to go, at minimal slip angles.
maybe, because it is all just IMHO and ain't necessarily right anyway. ...
but I think it's pretty darn close, except for I'm winging it and writing as I go and will miss connections along the way.
... and yep, me not being educated, I think I very likely just dug myself into a hole.
edit: Were not far apart on our thinking, I totally agreed with you on the first item. ...