Depending on the specific vehicle many 4WD have a transfer case that will lock the front and rear drives shafts together. This configuration is only for slippery conditions like ice and snow or very wet or off road. When turning the radius is different between the front and rear so there is a lot of feedback to the steering wheel. This is created by the fact the front set of wheels and the rear set of wheels must make the same number of turns because of the locked transfer case.
If you attempt to drive on high friction surfaces the stress to the drive train is excessive and will cause damage. The whine and the bunny hop is the drive train attempting to release this tension. If you were on a slippery surface the tires would have much less resistance turning at slightly different rates.
Also critical is the tire size need to be the same. However even with perfectly matched tires the problem on dry surfaces remain the same.
The AWD vehicles are equipped with a third differential that allows for the difference between the rotation of the drive shafts so it can drive on dry pavement no problem. Some configurations allow the AWD to have the transfer case locked which falls into the first category where dry pavement is prohibited.
Some Jeeps have a viscous coupling in the transfer case that permits limited slip between front to rear but the resistance to slip increases as the deference increases as in the event one tire is slipping
These Jeeps still have the lock up option in the transfer case requiring dry pavement when engaged.
Hope this helps?