Calculating Tension for 2000kg Elevator at Rest

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To calculate the tension (T) in a 2000 kg elevator at rest, one must analyze the forces acting on it using free-body diagrams. The weight of the elevator, calculated as mass times gravity (2000 kg * 9.8 m/s²), acts downward, while the tension acts upward. Since the elevator is at rest, the sum of the forces equals zero, meaning tension equals the weight. There is confusion about the relationship between tension and normal force, but it is clarified that tension prevents acceleration similar to how normal force counteracts gravity. Understanding these concepts is crucial for solving the problem accurately.
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Homework Statement


An elevator, complete with contents, has a mass of 2000 kg. By drawing free-body diagrams and by performing the neccesary calculations, determine the value of T ( tension) when
a) the elevator is at rest


Homework Equations





The Attempt at a Solution


i don't get how FN and T can be on the same Y axis together? any idea?
 
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What is FN ?
 
normal force
 
what do you think tension is?
 
tension is the normal force?
 
What normal force?
 
SammyS said:
What normal force?

the force that balance out weight ? o,o
 
Start by drawing the FBD. In this case, its just the y (vertical) component: m*g(weight) DOWN , tension(whats being pulled) UP. The sum of all forces(vectors so set positive and negative values for direction) equals mass*acceleration. But remember that constant velocity or at rest indicates 0 acceleration. The sum of the two forces are equal to zero. You are given the mass, and gravity(g) is 9.8m/s^2, but T is unknown. This is as much as i can do.
EDIT: is it at rest hanging, or on the ground... if the latter then ^ is wrong
 
Tension is related to normal force, but it has everything to do with a force in an object such as a rope or something springy at the molecular level. It's the force that keeps the object that it holds from accelerating a bit like normal force. I believe that the normal force keeps gravity from accelerating an object during contact of earth, because of inertia (resistance to gravity). So, how do you think you can turn these words into solving this problem?
 
  • #10
"It's the force that keeps the object that it holds from accelerating a bit like normal force"

I'm not sure if my words were exactly correct here, because I think I have done a few problems where an acceleration still existed o.O? but I hope you get the point.
 
  • #11
that quote applies to this prblem though!
 

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