If a big cap just like the one on the power port side explodes or burns then it means that there may be a sinister problem with your power supply
Maybe not, because I had another hard drive and it is still working fine.
to put it simply, your BIOS settings is set to AHCI so it enable SATA mode with NCQ, maybe another issue is the temperature of your PC, if it reach 40+ degree celsius of your HDD, better consider add more fan...too bad, it never revert from the start...
What's AHCI? and NCQ?

The temperature had nothing to do with it because the pc cover was open, so, lot's of air to the HDDs, besides, the drive is short circuited, if I plug the SATA power in it, the pc power source goes down imediately.
Ok, so here's what I got so far: I desoldered the cracked capacitor, pluged power to the drive, and nothing, no noise, no 'clicks';
(here's again a picture of the drive, with the cracked capacitor signaled in red, before any desoldering):
HDD PCB layout/ Identifying component ?
Higher resolution
HERE...then I desoldered the TVS in the upper left corner (the bigger one, black), still nothing. Next I desoldered the smaller TVS (right under the place where the cracked capacitor was), still a useless paperwheight. Finally I desoldered the remaining capacitor (in vertical position), and again, nothing

Just to be sure, I tested the both TVS (they are diodes) and they conducted current just one way, meaning they are fine, and the capacitor charged and discharged, so it is fine too.
EDIT: only the second capacitor was good, the first (cracked) is virtually a conductorThe culprit must be in other place, but where? none of the other components has burn marks/cracks.
Before desoldering, I tested the conductivity between power rails, and I got some strange results: from 3 pins that are supposed to be GND, 1 isn't connected to the others, the same to the 3 12V pins. And one GND pin (nr. 4) is connected to the 3,3V rail
It's because it's damaged, you're thinking... well, the same thing is happening to the other functioning drive. In fact, the browser from where I'm writing this, as well as the Duran Duran track that I'm listening now, are stored on that other drive.
I analysed the bad drive a little more, when I noticed something strange: all the pins, pads, vias, components of the PCB were electrically connected

every capacitor, to every pin of every chip. It's as if the air itself was a good electrical conductor, so everything is connected/shunted. Oh, and the same thing happens to the good drive.. what the hell?!