One last calculation, then back to my day job! The sideways tipping calc looks very safe on level ground with the bucket at the same height as the center of mass of the tractor. Assume the tractor+loader+bucket are a point mass of W=2027lbs at X=22.5" (half the width of the tractor). Even with a very unbalanced load that has a center of gravity L=2' beyond the bucket edge, that gives you a massive F=1900lbs, which the loader would never lift. However, raise the bucket and tilt the tractor 10degrees to the same side as the load and L has just gotten bigger and X has gotten smaller and the calc get a lot less favorable quickly.
I hope this was fun for any other math/engineering geeks like me who might be reading.
I hope this was fun for any other math/engineering geeks like me who might be reading.