The IBM 1620 is a retro-computer but not a retro-micro-computer. But maybe you'll allow it.
You could get it with a hard disk drive - one of those washing machine-sized cabinets that had replaceable multi-platter disks. Here's a picture in a wikipedia article - note that the disk pack on top weighed 10 pounds and rotated at 1500rpm, and had 14" metal platters. So you can imagine how big the multi-platter read head was - and how fast it had to move (light as it was), and also how much mass and momentum was involved in that spinning disk at the top of the cabinet.
Anyway, there was a thick multi-wire cable attaching the drive to the main computer cabinet. And in the installation I was familiar with - at the local junior college (Pierce Jr College) in Los Angeles - the drive wasn't "embedded" into a raised floor - it was just sitting on it's 4 little legs and the cable went under one of those plastic tunnels.
So the guys hanging around the computer lab were friendly to high schoolers and would show them stuff if they were curious. Like me. And one day they showed me a single-card program that sent the drive head back and forth from cylinder to cylinder in a narrowing sequence, e.g.,
0 - 99 - 0 - 99 - 0 - 99 - 1 - 98 - 1 - 98 - 1 - 98 - 2 - 97 - ...
After a bit of this the drive would start to vibrate a bit, then start vibrating like an unbalanced washing machine, then it would really start to go ... you'd found the resonant frequency where the heads bashing back and forth would interact with the entire device.
And then you'd flip one of the console switches on the 1620 and the program would just start seeking between the two last tracks -
... - 32 - 68 - 32 - 68 - 32 - 68 - ....
And the drive would start walking across the floor, dragging its cable behind it.
Now, I didn't see it, but they told me that one time they let it go so far that it pulled its own cable out of the plug. Stopping it, of course.
Does that count as "damaging" the machine?