I have a 10 inch 3 wheel bandsaw, cheapie from a yard sale, but occasionally useful.
After storage over winter in an unheated shed it wouldn't start. Opening it up I found every cubic inch packed with mouse nest - they must have got in through the dust exhaust port. It was a mess to clean out.
The circuit runs one power lead through an interlock safety switch, an on-off switch, a speed control, and then to the motor. The other lead connects directly to the motor.
With a multimeter, the safety switch and the on-off make and break. The speed control reads infinite resistance at all positions. But an ohmmeter feeds it only DC and I can't remember enough theory to know if that means anything. I can jump it out to test but wondered if there were other suggestions.