Difficult hard-to-answer questions Henry.
From the outside, electric motors look much the same, a cylinder with a shaft sticking out. External clues include capacitors, data plates, and it may be possible to identify from terminal labels, and brushes. Or not!
Inside is a mechanism, that by some method, arranges two magnetic fields as necessary to spin a rotor. There are many ways of providing “some method”. Usually fairly obvious how DC motors are arranged, less so with AC. There are at least 6 different variants of single-phase induction motors, not counting the Ferraris disc type, perhaps 7 or 8 3-phase types. I’ve lost count. Then we get into steppers, synchos, and other variants.
As you’re interested, I recommend a book. Plenty aimed at kiddies, too simple. And Electrical Engineering texts expect the reader to infer mere details like how they work from the maths. I’ve got one that’s 400 pages of formula with no mechanical drawings.
“Electric Motors in The Home Workshop“, No 24 in the Workshop Practice Series was about right for me – goes through the common types, and not too mathematical.
When asking for help with a particular motors, please provide as much info as you can – photos, data-plate, markings and – if you know – where it came from.
Dave