Not hearing a "click, click", from the hard drive when you power up is a good thing. It's likely that the drive is readable still. The way to find out is to pull the drive and connect it to your existing PC as a secondary drive. The easiest way to do this is:

1. Disconnect the power and data cables from the CD drive(s) of the working PC and connect them to the drive in question (power turned off while doing this). You can put a small cardboard box -no metal- next to the PC and you can set the drive on it while testing.)

2. Power up the working PC and go into the BIOS. If you see a hard drive attached to the Secondary IDE port as a Master, it means that it sees your drive.

3. Exit the BIOS and go into Windows and hopefully it will see your 2nd drive. Look for it in My Computer.

4. If you see it, copy your important files to the C drive of this machine.

An easier alternative is to put the drive in a USB drive case and read it via the USB port, but I'm guessing you don't have one of these handy.