For three phase operators, logic and mechanical units use the same motors. The difference is with single phase units. We have separate motors for mechanical units and logic units.
For example:
20-1050B-2P ½ HP Single phase motor for mechanical units
20-1050B-2LP ½ HP Single phase motor for logic units
The difference between the motors is a start switch in the motor. Single phase motors have two sets of windings, start and run. The start windings get the motor running, while the run windings keep it running. The start windings should only be energized long enough to get the motor to full speed. Since these windings are going from a stopped position to full speed, the start windings draw a lot of current.
To shut off the power to the start windings, mechanical motors have a centrifugal start switch. Once the motor gets to full speed, this switch opens a circuit, cutting off power to the start windings. The switch is an internal component of the motor. The problem with these motors is that the centrifugal switch can stick, especially as the motor ages. This switch is one of the leading causes of motor failure. Typically, when the switch fails, the motor will hum when trying to run. Tapping on the side of the motor can release the switch, but replacing the motor is best.
Motors for logic units do not have the centrifugal switch. Rather the logic board uses a board mounted relay (K3 on Logic 3, Logic 4 and Logic 5) to switch voltage to the start windings. The logic board then monitors the RPM sensor to determine when the motor gets to full speed, and then it shuts off the relay, killing power to the start windings. (Logic 1 did not have this feature, they use mechanical motors.)
A mechanical motor will work in a logic unit but a logic motor will not work in a mechanical unit. There is not issue with using a motor with a start switch and a board mounted relay, it is just a redundant system. If a logic motor is put in a mechanical unit, there is nothing to cut off the start windings. As noted before, they draw a lot of current. What one would typically see is the motor would make a long growling sound as it is running. It could start

smoking and then throw the breaker or other overload. This can also damage the start capacitor on the motor.
The Logic 5 replacement motors are backwards compatible with Logic 4 and Logic 3 operators. The installer needs to remove the plastic conduit and fittings, cut wires to desired length and re-use the metal conduit and fittings from the old motor.
NOTE: The thermal wire colors on the new motor may be different and have no marking, they may be marked J, TH, or TP.