Tensile force on a metal cable

Question

Suppose you have a steel cable that has a certain elastic limit. Then I decide to use this cable to support an elevator of a certain mass $m$. Certainly the cable goes under some stress due to the weight of the elevator. However, if I start to accelerate the elevator upwards, will the tension in the cable increase since the force I am applying is in the opposite direction with respect to the weight of the elevator.
In other words, will the tension be equal to $text{Weight} - text{Acceleration} times  text{Mass}$?

Utkarsh futous · Answer

Tension would be weight + mass * acceleration you can get the equation by considering free body diagram of elevator

Equation that comes is $T-mg = ma$

Hope it helps

Tensile force on a metal cable

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