I recently installed a rear luggage rack and washed my bike, and now I get a buzzing rattle when I ride over bumps in the road, independent of whether I happen to be pedaling at the time. It sounds like it's coming from somewhere below me as I'm riding, which probably indicates somewhere between the bottom bracket and the rear hub, or as high as the saddle. With my bike up on a repair stand I tapped the various components of the rack and tightened the screws but I didn't find anything obviously loose or that rattled as I tapped it.
How can I narrow down the source of the rattle?