Hi
Eunice is probably right, it sounds like a bad cord or connector.
Do you have a second USB port that you can plug it into?
If it does the same thing that would rule out the plug on the computer being bad, maybe you could switch the headphone and mouse plug temporarily.
The other thing that you could try is duct taping the cord to your desk just beyond where it comes out of the computer, so that it can't move the plug and see it that stops it, that would tell you that the problem is in the plug and not where the cord attaches to the head set.
Mike