A couple of things you may try to see if you can get it to work for your user are:
change it (non-persistent) to your user
Code:
chown <your username> /dev/video0
allow anyone rw permissions (if this is your system or a family system then security to this device may not be a concern)
Code:
chmod 666 /dev/video0
If either of these work or are acceptable given your concerns and system's use you could probably get away with just adding a udev rule to perform the necessary modification at device creation time so you (or multiple users) may use it without the need for logging in as root.