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Re: limited slip dif.
someone fed you a line. Limited slip differentials still allow full differentiation of the wheels, so in a turn the inside tire still turns slower just like on an open diff. The benefit is that both tires retain traction so grip is improved.
There are several types of limited slips, though. Most commonly, they use clutches that are held together with springs. I have that type and I notice that during hard turns the car wants to scuff the front tires a bit to the outside, but I never noticed it being a problem in snow or ice. Any drawbacks to it are more than outweighed by the traction benefits.
There is also an on-demand limited slip typically used in trucks that is commonly referred to as a gov-lock. It functions the same way as the above type with clutches, however they are normally disengaged resulting in an open differential. There is a little centrifugally operated mechanism that senses when one wheel is spinning faster than the other and it applies pressure to the clutches making it lock them together.
There are some now called Torsen (torque sensing) that use some configuration of helical gears and they provide the best of both; full differentiation with full torque split to both.
The only time a limited slip would be a problem on slick roads in a turn is if you're doing things like parking lot maneuvers or tight slow turns. In a normal turn like at an intersection or something the amount of resistance to turning is so neglegible that you'll never notice it regardless of how slick the roads are.
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