You may have a problem with your Steering Wheel Speed Sensor. However this sounds more serious than a variation in effort to turn the wheel.
I would attempt to drive this vehicle carefully to a dealer and have them repair the steering. The life of you family is too important to allow this to continue. This is why we have emergency credit cards.
Brakes and Steering can be the most dangerous problems to have on a vehicle.
Good luck, and please post what fixed the problem.
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Saturday, July 8th, 2006 AT 3:56 PM