Do you mean it can't be wired for variable speed? What about simple on/off?
It is designed to be wired for multi speed............. not variable speed. Only brush motors can be operated on a rheostat. Induction motors do not work on a rheostat. If you look at the diagram........ which really isn't a proper wiring diagram, you will note that Blue, Violet, and Yellow are High, Medium, and Low..... Brown is labeled B.... I don't know what that stands for. It may be another speed. White should be neutral, and appears from the drawing that the hot wire switches between these for for the different speeds.
Try bench testing it at home with a cord. Connect the white to neutral, and each of those 4 colors in turn to the hot wire. Use wire nuts on all wires when testing. Just take an old appliance cord and strip the ends. Connect it in one configuration, and plug it in momentarily..... Repeat with each configuration. It should give you 4 speeds. You can then buy a rotary switch and connect it to allow you to select the speeds you want.
Don't be afraid to test......... I've done countless motors this way..... hold the plug, and just poke it in the outlet briefly.... If it doesn't sound right, jerk it right out again, you won't hurt anything.
You MUST have the run capacitor........... This will be a little metal case oil filled run capacitor. It may be round, or it may be oblong. Run capacitors are different from start capacitors (the black plastic ones). Grainger's will have the cap you need.
H.W.