It's broken off the black component, if the two wires going into the connector are white/black stripe. The single wire off the connector goes to the box, a noise filter for the tach, and the white wire goes from the filter to the tach. The insulation at the connector tends to get brittle, then crack, and the wire breaks there at the crack from fatigue. It killed the motor when it grounded, because the coil won't charge up. The two white/black wires are the path from the coil - to the power transistor that switches the ground path on and off to first charge, then trigger spark from the coil.

I think I've read of some who have bypassed the noise filter with no bad results, but it's up to you. I managed to solder my wires back together at the break. Never tried to find a replacement part. On gen1's it's called an LC filter.