Are questions about computer troubles allowed here?

Acer Aspire 5315-2326 running Microsoft Vista Home

This item shuts down on its own while being used.
It does this after being run over an hour or two.

Excuse Me if I should had posted this in another forum.
Ed

Thanks for all of the suggestions.
I will check them out and report back what I find out.

I forgot to mention 2 things
I use the notebook at home on A.C. only

For a long time the Battery LED blinks when I have it turned on.

And Yes there is a Battery installed.

Thanks All.
Ed