AndyMA said:
Soundguy is definately right on this one. Think oif a 2 WD car. How many times have you seen one with one wheel on ice and the other on dry pavement where the one or ice or snow just spins and the car does not move. If there was any torque being applied to the opposite wheel the car would definately move. Limited slip differentials overcome this problem. somewhat
Andy
Small is not zero.
With a standard differential the torque at both wheels is equal. That is inherent in the differential mechanism.
If one wheel is on ice and the other on dry pavement with a standard open differential, the torque to the wheel on dry pavement will be the same as the torque needed to spin the wheel on ice. If the car just sits there then the combined torque of the two wheels isn't enough to overcome the resistance to moving the vehicle.
Ice and snow get really slippery when there is layer of water on top, such as generated by a spinning tire. In technical terms the coefficient of friction can be .001 or lower or around 1% of the traction available on dry pavement. That small amount of force at both the wheel on ice and the wheel on dry pavement frequently isn't enough to move the vehicle.
If the differential is locked in the situation above the wheels have to move at the same speed. In that case (assuming there is much more torque needed to spin the wheel on ice) the torque to the wheel on ice will be limited by the traction available at that wheel. The torque to the wheel on dry pavement will either be the remaining torque available, or if sufficiently large to spin the wheel on drive pavement then it will be the torque needed to spin the wheel.
A limited slip differential acts somewhere between open and locked differentials. If the speed difference between the wheels is small then the torque to either wheel will be about the same. As the speed differnence increases the torque difference across the differential can increase.
Yes, I'm a mechanical engineer who happens to work in the auto industry and has delt with traction issues. I live in Michigan and have had done a lot of traction "testing" recently with snow and ice covered driveways and roads. It's interesting going up or down an 8% grade when the road is covered with glare ice with out chains, even with 4wd and a locking rear differential.