You must check your wheel balancing
A worn or damaged component. Suggest to have someone wiggle the steering back and forth while you inspect for excessive play.
Normally this is caused by a tire out of balance. Have your tires rotated and balanced. Also have them inspect the tires and wheels.
The Steering Wheel lock is jammed! Gently wiggle the steering wheel back and forth as you try to turn the ignition key.
Wiggle the steering wheel at the same time you try to turn the key. It may just be lodged against a stopping point.
Low steering fluid can cause a steering wheel to whine when turning. A worn steering belt can also cause a steering wheel to whine when a car is being turned.
remove cover from centre of steering wheel and you will see a nut undo it while holding onto the steering wheel with one hand and undo then pull the wheel towards you giving it a bit of a wiggle.
Low power steering fluid or defective power steering pump.
Many things can cause that, the simplest cause being lack of power steering fluid.
The lever is located on the bottom of the steering column. If it's not locking, the lever may just be jammed and you just need to wiggle it a bit.
Steering fluid leak.
only thing that will cause smoke in steering column,is an electrical short in the wiring inside the steering column
Wiggle the steering while messin with the key,hope this helps almost all s10 are that way.