One of the first areas to take a look at is the brake system. Something may have broken and caused the actual closing mechanism to rub up against a moving piece. If the problem is on the front of the car, you might feel the car pull to onside under braking. This isn’t necessarily true if it is on the back. If the sound changes under braking, you’ll know you’ve found the problem.
What allows your wheels to turn independently of the body of your car? Wheel bearings! As you can imagine, these metal pieces are under a significant amount of stress. They are greased, but will eventually go out. When they do, they can make grinding, scraping noises. This is because they are not turning freely. A dead give away is the sensation the car is pulling to one side while just driving along.