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Lemme take a shot at explaining LSDs a little more indepth.
When you make a turn the wheel on the outside of the turn needs to turn faster then the inside wheel. An LSD wants to keep both wheels rotating at the same speed. There's a certain amount of friction inside the LSD that needs to be overcome to turn them at different speeds. The friction of the inside tire not wanting to slip transfers enough power inside the LSD to over come the LSDs resistance. The differential slips (ie the two wheels turn at different rates). This is good. You keep the car under control.
When you accelerate in a straight line one wheel is going to loose traction first. When it does you're dealing with a small friction difference between the two tires. This only transfers a little bit of force inside the LSD. The resistance inside the LSD to allow the wheels rotating a different speeds is stronger then this force. The wheels turn together. You get more traction. Everything is good.
The problem comes somewhere in between a turn and staight line acceleration. Say accelerating out of a turn. When you're coming out of a turn the outside wheel has more weight on it, so it has more traction. When you go to accelerate there's a bigger difference in friction between the wheels then if you where accelerating in a straight line. The resistance of the LSD to slip needs to be greater then this difference to keep the inside wheel from spinning and sending you into a bad oversteer condition. At the same time it needs to be less then the difference during a normal turn or the inside wheel will spin and you'll oversteer going into the turn.
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