Okay, so I'm getting the question that you wanted to ask might not be the question that you actually wrote out in words.
I'm surmising that the question you wanted to ask is something akin to "How does a hoist hold a load stopped without burning up the motor" or perhaps "What's the minimum speed at which a hoist can raise a load" or something of that sort.
A normal everyday cheap simple hoist doesn't rely on the motor to hold it stopped. The motor probably has a mechanical, spring-applied, holding brake built into it that engages whenever the power to the motor is off (or below some threshold very low voltage). Or, maybe, it has a gearbox with sufficient friction characteristics inherent in its design that it's self-locking. (Worm gears.)
If you are using the motor output torque to balance the load, or moving the load at a very low speed (up or down), then you can't use the holding brake or gearbox self-locking. And in that case ... The motor needs to be supplied current to magnetise its innards in order to develop torque, even if it isn't developing revs. It will, effectively, be stalled. If it is an AC induction motor, then it will have to be supplied a small AC frequency that is just enough to offset the induction motor's inherent "slip" characteristics. In a normal AC induction motor with an integral cooling fan driven by the motor shaft itself, that fan won't be spinning if the motor shaft isn't spinning (and if the motor is spinning very slowly, same goes for the cooling fan). Do that with enough torque output (= magnetising current supply) and the various resistances inside the motor will be making heat. Do that for long enough ... the magic smoke comes out, and then it don't work no more!