Yes, I went through this brain puzzle as well. The "brass piece" is the plate with four hexagonal screws around the motor pulley. I saw some threads on here from a few years ago where posters would advise removing the plate to get to the "brass piece." Not a good idea; you don't want to be messing with the motor assembly. The challenge is that the space between the brass plate and the pulley is probably about 2 mm, if that. It appears after many years of owners complaining about this, Harry finally got the clue -- current versions of the Classic have a much bigger space between the brass edge and the pulley as I saw at my dealer's.
For the those like myself with the "older" versions of the turntable, a dropper that you can purchase at a Right Aid or Duane Reade can do an ok job, but I would strongly suggest a syringe with a needle, if you can get one. As Swanny noted, you WILL leave oil residue on the brass plate, which is a pain to clean up as you have to be super careful not to get any oil on the pulley or the platter. I live in San Diego and it is impossible to get a syringe with a needle here; I guess it's good I'm not a heroin addict. (As a side note, how restricting access to syringes helps with drug addiction is a mystery to me; it seems it would simply force users to share syringes and increase the risk of contracting HIV.) I had a friend bring me a syringe with a needle from Tijuana and it made the job much easier and cleaner. You stick the needle below the pulley and apply a little bit of oil on the pulley bearing.
For the those like myself with the "older" versions of the turntable, a dropper that you can purchase at a Right Aid or Duane Reade can do an ok job, but I would strongly suggest a syringe with a needle, if you can get one. As Swanny noted, you WILL leave oil residue on the brass plate, which is a pain to clean up as you have to be super careful not to get any oil on the pulley or the platter. I live in San Diego and it is impossible to get a syringe with a needle here; I guess it's good I'm not a heroin addict. (As a side note, how restricting access to syringes helps with drug addiction is a mystery to me; it seems it would simply force users to share syringes and increase the risk of contracting HIV.) I had a friend bring me a syringe with a needle from Tijuana and it made the job much easier and cleaner. You stick the needle below the pulley and apply a little bit of oil on the pulley bearing.