western digital external drive (not about the lawsuit though)

I have an external Western Digital HD that is playing up. When plugged in it just emits a "beep beep" and the power lights do not come on, also it does not show up on "My computer" anyone got any ideas?

 

Well, first stop it to try it on another machine. If it fails there, you'll probably have to contact WD if it's under warranty, and crack the case and test the drive itself if the warranty has expired.