The maximum capacity (occupant load of an elevator is 1000N. The elevator starts

Question

The maximum capacity (occupant load of an elevator is 1000N. The elevator starts from rest, and its velocity varies with time as shown in the graph. What is most nearly the maximum additional tension in the elevator cable due to the occupants at full capacity? Neglect the mass of the elevator.

The maximum capacity (occupant load) of an elevator is 1000 N. The elevator starts from rest, and its velocity varies with time as shown in the graph. What is most nearly the maximum additional tension in the elevator cable due to the occupants at full capacity? Neglect the mass of the elevator. e in v (m/s) 4 6 time (s)

Explanation / Answer

Maximum Capacity is 1000N.
Therefore, the mass of the occupants when at maximum capacity = 1000/9.8 = 102.04 Kg.
Now, the maximum acceleration here is 2m/s2.
When, the accelerator is moving, the maximum tension is given by
T = ma+mg
T = 102.04*2+1000 = 2204.08 N.

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