Ugh...too bad about that woofer.
These last three posts are good, and I hope I can clarify matters a bit. The AR-2 series (AR-2, 2a, 2x, and 2ax) did indeed use three different woofers, and the obvious physical variables were: outside basket diameter, number of screw holes, surround material, cone material, and magnet type/shape. This may be far from complete, but chronologically:
Type 1: cast metal basket (11" dia), 6 screws, cloth, heavy ribbed cone, cylindrical alnico magnet. Found in all AR-2 and 2a's, and in 'early' 2x and 2ax.
Type 2: pressed metal basket (11" dia), 6 screws, foam, smooth paper cone, slug alnico magnet. Found in 'transitional' 2x and 2ax.
Type 3: pressed metal basket (10" dia), 4 screws, foam, smooth paper cone, slug alnico magnet. Found in 'late' 2x and 2ax.
Am not 100% positive about a 'late' 2x, but nonetheless, the transitional woofer (like larrybody in post 21) was meant for cabinets with the larger diameter baffle cut-out as AR began shifting towards foam surrounds. While types 1 and 2 should both perform well and fit the AR-2 cabinet, if your other speaker is the original cloth woofer, that is what you will want for your second speaker as well.
I don't know what makes these drivers go dead, but before I tossed that beloved 10" woofer in the trash, I might want to first chat with Bill Legall at Millersound to see if a repair might be possible. Many serious east coast audio geeks say that he is the man for repairing the unrepairable.
http://www.millersound.net/about.htm