hmmm, not too sure. You need to find out which part is broken; the monitor, the cable or the computer...
Try the monitor cable from your other computer. The data cable connecting the computer and the monitor, not the power cable. If it still doesn't work then it's probably not the cable that's broken.
If that doesn't work try plugging your other computer to the broken monitor to see if it's the monitor that's broken.
If that doesn't work try plugging your working monitor into the other computer to see if it's the computer that's broken...
that should keep ya going for a while