Tire/wheel balance, worn/loose steering components,
Has it ever been in a accident ?
It is square and purple and lives under the dash to the right of the steering wheel.
There is a large nut in the center of the wheel under the boss cover, tighten it to the manufacturers specification. If, however, the steering is wandering this could indicate a loose steering/suspension joint or problems in the rack or steering column which must be checked out and repaired before the vehicle is used further.
If the steering wheel is loose while driving the steering rack may be going bad. A bad steering rack leads to a lot of play on the actual wheel.
A Grand Cherokee is either rear wheel drive or four wheel/all wheel drive.
One sign of a brake rotor going bad on a Jeep Grand Cherokee is a vibrating steering wheel. Another sign is that you feel your brake pedal pushing back.
The 2006 Jeep Grand-Cherokee has rear wheel drive.
The 2003 Jeep Grand-Cherokee has rear wheel drive.
The 2011 Jeep Grand-Cherokee has rear wheel drive.
The 2005 Jeep Grand-Cherokee has rear wheel drive.
The 2007 Jeep Grand-Cherokee has rear wheel drive.