If you have had this notebook for 10 months, and it has started shutting down at random, it should be a warranty issue. You do not want ot overlcock/underclock anything. You want to contact the manufacture and get it fixed/replaced. This only applies if you bought this notebook new. If you bought it used, then try some of the suggestions presented here.
It sounds like a fan has went out in the notebook. Replacing it could be simple, or it could turn out to be a complete breakdown. If you're noticing heat on your keypad, it's probably the fan just below the keyboard that has went bad, or has somehow become disconnected. Again- don't do anything other than calling the manufacture if it's possibly under warranty!