CAll me hard headed, but I still dont see the tractor tires rolling backwards as the chain tenses up.
Stop and ask yourself what causes the front to climb up anyway? isnt it the the "equal and opposite" reaction force to the tires turning forward??
So if the tires roll backwards wouldnt the front set back down?
And dont we have the clutch engaged and infinite power trying to turn the tires forward?? yet, somehow that infinite power and traction tightens up the chain in a way the tractor rolls backwards??
And to open up another can of worms here, I think I an in agreement with Roy Jackson, in that a straightr pull, with the chain STRAIGH and LEVEL with the drawbar, if the drawbar is below the axle, it does pull down on the front.
XYZ: and others involved, I know it may sound childish, but I encourage you to do this. Get out one of your 1:16 scale model trators. Set this very expirement up. Attach a string to the drawbar and then to something immovable on a bit of an angle like your diagram. Then with your hands, try to drive the back tires. You can get a good bit of weight/traction just with your hands. You may be suprised at what happens. I did this yesterday before I even posted.
Hard headed? Hey, it's all good. I'm hard headed too as you can see!
Okay, I'll try another approach.
Yes, it is the equal and opposite reaction going on. You agree the tractor car raise its nose if the tires are locked still. So although the forces are equal and opposite, the resulting motion does not have to be. That is to say that if you lock one side of the system, the other side will be moved with all the force. That's what's happening if the tractor raises its nose while the wheels are locked in place, right?
So if you agree that the motion does not have to be equal and opposite, even though the forces are, then you agree that the tires are not necessarily forced to turn forwards because the motion can be elsewhere, ie raising the nose of the tractor instead of turning the tires. Now if you force the rear wheels to turn backwards, the equal and opposite force results in the motion of the nose rising that much faster.
Imagine the rear axle of a tractor chained down onto a conveyor belt or a dyno drum. Imagine that the wheels are forced to rotate slowly backwards no matter what. Now engage the clutch and give it some throttle. The nose will rise at the expected rate PLUS the extra induced rate caused by rotating the tires backwards. Make sense?
In our scenario of pulling against an immovable load, the geometry requires that the tires are forced to roll backwards. This is no different than if they are forced to do so by conveyor belt, or dyno drum, or anything else. If you restrain the drawbar with a chain, and give the tires enough traction, the only work left for the engine to do is to raise the nose of the tractor.
Now we seem to have agreed that as the nose rises the leverage to overcome increases, but never reaches zero as long as the drawbar does not extend past the tire radius. So as the nose rises and the effort required increases, we only have to ask ourselves these questions:
1. Do the tires have enough traction so that the work the engine does is forced to raise the nose? If so, the tractor can flip.
2. Does the engine have enough power to keep raising the nose even as the effort required increases because of drawbar geometry and leverage? If so, the tractor can flip.
3. Does the geometry of the drawbar and angle of the chain fail to ever cause the vector of the restraining force to point below the contact patch of the tires? If so, the tractor can flip.
4. Even if the geometry of the drawbar and angle of the chain do ever cause the vector of the restraining force to point below the contact patch of the tires, can the nose be raised with enough momentum to carry it up and over despite such an equilibrium point being reached? If so, the tractor can flip.
I propose it IS possbile to flip a tractor despite never seeing it firsthand. I also suggest that with proper care and attention to the enviroment it is possible to do the same task that results in the flip without flipping by eliminating the "stupid". I don't exactly mean that the operator did something stupid as much as there was some inattention, oversight or carelessness involved that allowed the "stupid" to occur.
I agree with that wholeheartedly. I believe the answers to the four questions I asked above are all "not likely." But that answer leaves room for possibility.
xtn