If you have a heavy door that seems to have a loose hinge, it could be that either the door hinge screws are stripped or the screw hole is stripped. This is caused by the strain that heavy doors can put on both hinges and screws. When you first notice this, it is important that you fix the problem as soon as you can. This will ensure that the stripping doesn't go beyond repair. Here is a guide for replacing stripped door hinge screws.
Step 1 - Test the Screw
Test the screw with a screwdriver. If the screw continues to keep going around does not tighten, the screw and/or screw hole is stripped. If you put pressure on it and it comes out, you don't have to worry about it.
Step 2 - Remove the Working Screws
If your door is somewhat light, you can use a wedge to put under your door that has a problem. If your door is too heavy for this, you may need someone to help you. Take your screwdriver and remove the others screws that hold the hinge onto the door. Then you'll need to fix the stripped area.
Step 3 - Remove the Stripped Screw
If the screw of the hinge is the part that is stripped, you will need to get a stripped screw remover from a hardware store. This will wedge into the head of the screw and pull it out more than a screwdriver would. Normally they come as drill bits, but there are screw remover kits out there.
Step 3 - Fix the Stripped Screw Hole
One way to fix the stripped hole is to take one or two cardboard matches and dip them into either white glue or wood glue. After you have done that, put them in the hole that is stripped. Give the hole time to dry before you replace the screws and hinge. After it has dried, get a new screw that is not stripped and screw it in the hole that was repaired. With a screwdriver, put the rest of the screws into the hinge and the holes.
If the hole is stripped as well as the screw, you can plug the hole with wood matches that are covered in glue. You can also use a golf tee. Take your hinge and screw it in with all the screws except for the hole that has been repaired. Once the hole dries after several hours, you will need to cut off excess wood from the match sticks. After you have done that, carefully drill the hole and then screw in the new screw into the repaired hole.