The wider one is probably the 24 pin parallel port connector cable, that one goes to the Widget hard drive, well, it would if you had one. Don't attempt to plug that one into the floppy drive.
The narrower one should go to the floppy drive. I'm not sure how a 2/10's floppy is wired exactly. My Lisas are 2/5's, so they have an actual board on the left hand bottom side of the drive cage. A wider cable goes from the inside of the Lisa (the mother board connector) to that card, and then a small 18pin ribbon cable from that card goes to the floppy drive. Sounds like you have something similar without a card - note that you don't need a card since the 2/10's I/O board doesn't need that functionality.
Be careful which way you insert the floppy cable into the Lisa, I don't think they're keyed so it is possible to insert it upside down, if you do that, I think the Lisa won't turn on, so if you do that, it should be pretty easy to figure out.
The narrower one should go to the floppy drive. I'm not sure how a 2/10's floppy is wired exactly. My Lisas are 2/5's, so they have an actual board on the left hand bottom side of the drive cage. A wider cable goes from the inside of the Lisa (the mother board connector) to that card, and then a small 18pin ribbon cable from that card goes to the floppy drive. Sounds like you have something similar without a card - note that you don't need a card since the 2/10's I/O board doesn't need that functionality.
Be careful which way you insert the floppy cable into the Lisa, I don't think they're keyed so it is possible to insert it upside down, if you do that, I think the Lisa won't turn on, so if you do that, it should be pretty easy to figure out.