for a single tire to slip with a open diff that tire is getting more rolling resistance than it can over come and a lack of traction to overcome that rolling resistance.
I just don't get what that whole sentence means....
That rolling resistance can come from a number of places. In the original video the rolling resistance is coming from either a rock or a root that looks to be contacting the tire above the tires centerline, this is very common on the trail. Another very common place for rolling resistance to be applied to a wheel is at it center point or the spindle, see wheels are connected to the chassis so forces acting on the chassis will affect a wheel as well.
...which may be why the rest of this paragraph doesn't clarify things for me either.
I raised two basic objections to the most common explanation of open-diff BTM. One was an objection in principle - any torque added by equal-side braking adds nothing to the force that the tyres exert on the ground (because it's precisely offset by the braking resistance itself). I illustrated this by a quantified example.
The other was an objection in practice - I outlined a test that had the fewest number of variables I could think of, and described the results.
If my objection in principle is invalid, then some other force must be in play that I haven't taken into account. How does open-diff BTM generate additional force under the tyres? If there's link between that question and the statement that sometimes rolling resistance is applied above the tyre's centreline, it's not an obvious link to me.
If my objection in practice (the experiment) is invalid, then presumably it's to do with the BTM technique I was using (easy to resolve - someone else do the experiment, and report the results), or it's to do with some terrain feature that is
fundamentally different to the control environment I described. However, no-one's yet suggested that the technique is limited to some specific terrain or situations. Indeed, Hank says it will work on a flat slippery slope, and others have used clambering over rocks as exemplars of BTM.
The next force to consider is a spinning wheel. You must understand a spinning wheel is STORED ENERGY when you apply the brakes some of the energy is turned into heat but most is transfered back to the differential and across to the other wheel. the torque can not go into the driveshaft because it is still under load and putting torque into the differential through the ring and pinion from the application of the throttle.
because the energy is only being stored on one side of the differential the effect is only going to help until both the wheels are once again turning at the same speed or one tire begins to spin again and store energy.
The momentum from a spinning wheel was the other explanation I referred to in my previous post. It's seductive at first glance. However, the problem with this is two-fold:
Firstly, when the brakes are used to slow or stop a wheel from spinning, no momentum from the wheel is transferred back into the driveline. The brakes are anchored to the fixed part of the truck, and absorb
all the energy. That's simple physics. Energy from
upstream in the driveline (the weight of the flywheel, propshafts etc. will be distributed equally between the two halfshafts, of course, but subject to the same rules as if it were being generated by the engine, rather than residual kinetic energy. That is, it keeps the same torque on each shaft. (And since the braking force on both shafts is equal, the "traction torque" is still limited to the spinning wheel's traction.)
Secondly, if this
were an explanation, then it would apply in my experimental scenario, and sudden braking should cause the car to lurch forward.
The converse of this inertia/momentum explanation is a little more persuasive. If you suddenly accelerate rather than brake, then, as Rob pointed out in an earlier post, the inertia of the lifted wheel would generate a torque on both axles, and therefore try to move the car forwards. But not by much, and it has little to do with BTM...
An interesting thing about this discussion is that one would have imagined that such a technically knowledgeable group would quickly have come up with the right explanation. Had I been arguing that BTM doesn't work in the case of a LSD, for example, it would have been easy for someone to explain how the mechanism of a limited slip diff multiplies torque, and that therefore my chain of reasoning (and my numbers) were invalid. Or had it been an argument that keeping low engine revs are never good for traction, someone would explain how static friction is greater than dynamic friction. My point is that every phenomenon that exists, does
have an explanation...