Boomerang1 said:
If you add weight directly above the rear axle, it will move the center of gravity to the rear. Moving the center of gravity to the rear will take weight off the front axle. If you don't believe me, ask any race car owner about weight transfer.
I apologize for being blunt but, the first sentence is correct - adding weight to the rear axle will move the CG to the rear. The second sentence is incorrect - moving the CG by adding weight to the rear axle does
not take weight off the front axle as proven in my static (not moving) analysis. You are shifting the CG to the rear, but now the tractor weighs more - the front carries less proportion of the weight, but still the same absolute value.
The axle loads are calculated by setting the sum of the moments (torques) to 0 at any given pivot point. So starting at the rear axle, you multiply the weight of the tractor times the distance to the cg from the rear axle to get the gravity moment. The front axle reaction (or load) is exactly equal in magnitude, but opposite direction - dividing the gravity moment by the wheelbase will give you the front axle load.
With two pivot points, this isn't the simplist introduction to free body diagrams, and it is
much easier to explain in person using some props & experimentation to prove out the theory. I've also been told by my wife (who is a teacher) that while smart & handsome

I'm not the best educator
As far as the TC55 steering issue, it is approximately a static situation that the steering problem seems to occur - ie trying to steer the tractor while not moving. The CG movement will affect dynamic stability, but frankly I'm not inclined to spend time analyzing that since it is not relevent to the issue at hand. Besides I'm a little out of practice.
