I’ve had trouble with this in the past too. If you’re having the same problem I’ve had, then it’s a setting on the camera that has to be changed. And Final Cut is kind of goofy, sometimes you have to restart both the camera and Final Cut in order to get it to recognize the camera.
Go through the VCR menu on the V1U, toggle down to In/Out Rec (the double arrows), and be sure the settings are:
VCR HDV/DV – HDV
Component – 1080i/480i
i.Link Conv – Off
Down Convert – Squeeze (This likely doesn’t matter)
Turn everything off and restart everything. Hopefully the computer will recognize the camera. If not, keep playing with it. Obviously it’s seeing something, sometimes Final Cut is just quirky.
Good luck.