That's called the "door check" and is usually located between the hinges. It typically held onto the door with two nuts sticking out where you can see them, and a pin on the "A" pillar.
Use some "Spray White Lube" from the Chrysler parts department. It's a lithium-based grease with a juicy liquid. The liquid travels into places and takes the grease with it. Eventually the liquid evaporates and leaves the grease behind.
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Wednesday, July 20th, 2011 AT 6:46 PM