Pull the inner portion of the hinge out of the housing.

Use a spudger or popsicle stick to apply a small amount of high viscosity damping grease to the inner portion of the hinge.

Push the inner portion of the hinge back into the housing.

Scrape off excess grease with a spudger or popsicle stick. Use paper towels and isopropyl alcohol to clean grease off of any other surfaces. If you're cleaning grease from electronic components, make sure you use high concentration (greater than 90%) alcohol.