Elevator Motor

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That total mass applies to the momentum but not to the lifting load; modern elevator manufacturers try really hard to balance all the mass that isn't cargo.
If there are many starts per hour, accelerating all that mass will consume a significant amount of energy and contribute to a significant amount of motor heating.
(if dynamic braking is installed, doubly so)

If the elevator car is near the top or near the bottom, the cable mass will inevitably be unbalanced.
 
If the elevator car is near the top or near the bottom, the cable mass will inevitably be unbalanced.
A compensating chain hung between the elevator car and counterweight is often used to correct for the unbalanced weight of cables when it becomes a problem in designs that have relatively large car travel distances.
The elevator in the OP's postings is hydraulic and so these issues would not occur.
 
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