Woah there - before you go and try pulling your computer apart, lets try this. Laptops are tricky to disassemble/assemble at best, and opening any electronic device (particularly complex ones like modern computers) poses great risk to the internal components. Static electricity held in your body can discharge without your feeling it, possibly causing permanent damage to your computer's components.
When your computer starts, there is likely a screen that you would normally see before the Windows loading screen comes up. This is called the Power On System Test (POST). When this completes, Windows begins loading. What you need to do is rapidly tap F8 as soon as the POST completes. This will bring up a menu that should have an option saying "Disable Automatic Restart on System Failure". Select this, and your system should continue to boot, hit the BSOD, and stay there for you to examine.
Hope this helps.
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Enrolled on 19SEP2010