Question HDD Starts up, then stops and won't show up

How does it show up in a SMART report? I suspect it will report a capacity of 3.86GB, which is symptomatic of an inability to reach the System Area (SA) on the platters. That's where the firmware is stored. In short, the drive appears to have an internal fault, ie heads, media or firmware.
 
A HDD works with mechanical parts. If the parts are no longer moving properly, there's no way to read the drive. A professional can open it and make everything temporary spin again to extract the files (if you attempt that yourself you will most likely destroy it for good).