> My farm tractor will move a space shuttle
Only if it is fairly heavy for a 35HP (or 4WD). The limit is traction. As I figure it, there needs to be 5K-6K lb of weight on the driving tires, which need to be street-type (and on clean pavement).
Your farm tractor may well be over 6,000 pounds but much of that is on the front. When plowing, with hitch at the right height, some (to all (or more)) of that is transferred to the rear tires. That can happen on pavement, but tends to be fairly sudden, thus dangerous.
The horsepower is, of course, almost unimportant.
Gearing matters; but most 2WD cars are geared very close to wheel-spin in 1st gear. My mild Honda will chirp its tires on almost any stop-and-turn. I doubt road-mode 4WD is geared to wheel-spin; most folks are not ready for that much GO and they want 4WD to NOT wheel-spin. However a HD 4WD also has a low-range. Some are 2:1, my plow-truck's is 2.7:1. I figure 2,400lb pull in road-mode and well over 5,000lb pull in low-range.
Weight on drive wheels is key. ALSO rolling-resistance of the shuttle dollies, and road slope.
The rolling resistance is probably quite low (as fraction of shuttle weight). In their normal uses (houses and utility transformers), rolling resistance is a drag and a waste of costly fuel. And if speed gets up much higher, heat in heavily loaded tires. Still and all, it has to be down around 1% to get drawbar pull down to 3,850 lb. If we assume coefficient of traction as nice/round 1.0, then we need 3,850 pounds on the drive wheels. (My plow-truck's tires are old and hard, probably traction nearer 0.7, so at 6K pounds weight I can only get 4K2 pounds pull.)
The Toyota truck was about 5,700. Clearly a HD model, surely with 4WD, and possibly some ballast.
Actually rolling resistance is higher after standing still a while, and drops once rolling. Most RR data is "rolling", because that affects economy which is usually important. In this case they must also have checked starting RR after a stop.
That's assuming dead-level road. That area of LA is flat. My road is nearly flat, but really a 2% grade. It would take over 7,800 pounds pull to keep the SS rolling up my road, zero to keep it rolling down to the jiffy-mart.
But the actual course was a bridge over a sunken freeway. Bridges are usually high at mid-span so rain (it does rain in SoCal) will run to the ends where it can be handled. Can the Toyota take that grade?
But another thing. The run started well back from the bridge. All else equal, the road to the bridge sometimes falls, again so rain runs to the bridge abutment where there's already heavy drainage for the span (and so neighbors don't say the bridge sheds onto their land). So the total profile is W shape. And the Toyota just-might have started on a slight downhill slope. A 1% slope would negate a 1% rolling-resistance, and an under-geared lawn-tractor might have eventually got the SS rolling. The slope on the approach is probably well under 1%, but still probably in favor of getting things rolling.
The Toyota's retail tow-rating is closer to 10K than 385K pounds. Why the difference? That's 10K at 55MPH and with reasonable stability and STOPPING power (possibly with trailer brakes helping). I doubt the SS job peaked at 2MPH, and the hitch used gave the tiny truck considerable leverage on SS direction.
My main concern would still be stopping. Yes the Toyota could slow the rig from 1MPH to a standstill eventually. But what if a child runs into its path? What if the hitch breaks? My guess is that the *dollies* have brakes, to assist the tractor, for parking, and to slow a runaway situation. With 385K pounds on dolly wheels, it should be possible to stop right-quick (or somewhat less to avoid throwing the SS off its blocking).
BTW, this was not only a stunt. That bridge could carry the shuttle but not the oversize truck-tractor at the same time. They'd either have to brace the bridge (closing the freeway for days) or switch to a smaller truck just for this crossing. (I'm sure the hauling company had their medium truck hiding in an alley in-case the Toyota flubbed-out.)