Nowadays, DC02’s are quite thin on the ground. One of the well-known faults that sends them to their electronic grave is the cable rewind failing. There are several reasons for this:
The cable can break inside the outer sheathing near the plug. Wiggling the wire near the plug may allow the machine to burst into life. If this is the case, you are quite lucky — simply remove the old moulded plug and fit a standard electrical plug after shortening the cable a couple of inches.
The cable can also break up mid way down. This is much harder to pinpoint the exact spot, so you need a new cable. If you are *very* practical, and can find the right gauge cable, and the rewind mechanism is working OK, you may be able to replace the cable if you strip the machine down.
The cable can break up inside the rewind mechanism itself. This grim and necessitates a new rewind mechanism.
If the rewind mechanism is not rewinding any more on your DC02, it has most likely given up the ghost. This is also grim and necessitates a new rewind mechanism.
The difficulty you will encounter is that Dyson discontinued making these DC02 cable rewind units some time ago. There are not enough Dyson DC02’s still around for anyone to bother making them after-market. Various sites on the internet still list them, until you actually get through to their pages and find it says “out of stock” or “not available”.
If you elect to attempt a repair on a DC02 cable rewind unit, be careful. As mentioned above, it is possible to change just the cable and reuse the old cable reel. But, you must be very cautious with the rewind spring. If it springs out of its aperture (which is likely), not only is it a swine to get back correctly, but it can cause injury if it catches you skin or especially your eyes. Be very cautious if you are stripping one of these units down. Wear goggles even.
If you need a new rewind unit, your best chance is a used item or finding a used machine to cannibalise. However, a used machine is likely about as old as your DC02 is, so don’t hold out too much hope of the cable rewind unit being much good. If you can locate a good one, you are lucky.