(II) The cable supporting a 2125-kg elevator has a maximum strength of 21,750 N. What maximum upward acceleration can it give the elevator without breaking?
The maximum acceleration with which the elevator can be moved upward helps in designing a fast elevator without compromising on the passenger safety.
Step 1 of 3</p>
Concept: Newton’s second law: The force F acts on mass m produces an acceleration a in the object. Mathematically, F=ma.
Step 2 of 3</p>
When the elevator is moving upward with the maximum acceleration, the tension in the supporting cable would be maximum. Figure below show the free body diagram of the elevator,
Maximum tension in cable Weight of the elevator Net force on the elevator