The other day I was reading an accident report about the Concorde crash in Paris. In the report it states that the aircraft ran over a piece of metal that "fell off" an aircraft that departed a few minutes earlier (Continental DC10). As we all know this set off the disastrous chain of events that brought the aircraft down.
What I want to know is do parts fall off planes alot and are there many incidents where those parts have caused damage to other aircraft, like the Concorde example above. Do any pilots or passengers have examples of where they have seen pieces of aircraft on the runway and maybe they caused damage to the aircraft they were on?