WindowsXP ProLocks up on Hard boot

My 1.4GB Computer System stays running most of the time. But When I do shut it down completely (Usually about 12 hours) and turn it back on, it boot up to WindowsXP Professional just fine. Until about 15 to 20 Minutes after It has been booted up completely. Then it Locks Up solid. I can’t even move the mouse. And I get a high pitched continuous noise out of the speakers. So I press the reset button and never have the problem again, until I Shut down the computer completely and start it back up for the first time after removing power by pressing the power button. Has anyone else had this problem? Does anyone have any suggestions or a fix for this problem?