Hi James
I'm no electrician but I suspect that at some time the motor has been stalled before and its 'let some of the smoke out'.? What happens when it stalls is that the current in the copper windings rises drastically and the insulating coating on the wire starts to melt, then burn.? Even melting the insulation is bad because the thickness of insulation between wires where they touch one another decreases and the insulation value between the wires and from the wires to ground decreases too. The effects are cumulative; if it burn would burn out in 30 secs, then 5 lots of 6 seconds will burn it out too, even if it appears that the motor was OK after each stall, the damage mounts up.
The only way to know if that's really the case is to have an electrician Megger the windings.? They put a high voltage on the windings and measure the resistance to ground; there are accepted values for what it should be and when its failing.
Might be some useful info for you in this doc,?
Replacing 4x6 bandsaw motors v3.pdf???(its in the files section)
Rgds - jv