Computer shuts down after selecting character

[Gwidion]

Hello! My computer seems to keep shutting down after I select a character. I can surf the net and watch and play other games, just thisone is giving me the problem.
I can sometimes make it in game for about 2 minutes, then the whole thing just shuts off.
Is this a fixable problem or do I need to start looking for a new comp?
Any help would be appreciated. Thanks!

[flatlyne2001]

system specs would help for initial troubleshooting