As has been mentioned, the freeze trick works for mechanical and motor-related issues. I generally freeze it overnight without a bag of any sort - a freezer is already a dry place - moisture freezes out of the air.
Then the drive comes out along with two "blue Ice" picnic bricks. I make a sandwich out of it: blue ice brick - drive - blue ice brick.
It all goes on a ceramic plate next to the comptuer.
Then power it up and hope for the best. Don't be afraid to gently "thunk it" with various tools to get it spinning or working.
Also, you need a file copy tool that doesn't stop the whole copying process when it encounters an error (I'm looking at YOU, Windows Explorer). "The Unstoppable Copier" is a good freeware utility that works well in these situatuions.
You usually only get one chance when trying freezing, so make sure all your tools are ready for one frenzied attempt.
-Llama