Tension in the cable of the lift

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SUMMARY

The discussion centers on calculating the acceleration of a lift based on the tension in its cable during upward and downward motion. It is established that the tension in the cable when the lift moves upward is twice that when it moves downward. By applying Newton's second law, the correct relationship between the lift's acceleration (A) and gravitational acceleration (g) is derived, resulting in A = g/3. Participants emphasize the importance of correctly applying forces and accelerations in the equations.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Basic knowledge of forces acting on a body (tension and weight)
  • Concept of acceleration in physics
  • Ability to set up and solve equations involving multiple forces
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  • Review Newton's second law and its applications in different scenarios
  • Study the concept of tension in cables and its role in mechanics
  • Explore problems involving multiple forces and accelerations
  • Practice deriving equations for systems in motion, particularly lifts and elevators
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jatin1990
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Homework Statement



The tension in the cable supporting a lift moving upward is twice the tension when the lift moves downward. What is the acceleration of the lift?

Homework Equations





The Attempt at a Solution


i think its only conceptual but still please show me the way how to think about it.
Thank you.
 
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welcome to pf!

hi jatin19901! welcome to pf! :wink:

apply good ol' Newton's second law to find the relationship between a g and T for the two cases …

what do you get? :smile:
 


tiny-tim said:
hi jatin19901! welcome to pf! :wink:

apply good ol' Newton's second law to find the relationship between a g and T for the two cases …

what do you get? :smile:
i am doing it like this , when lift is moving downward then , Tension(T) = Mass(m) * Net Acceleration ( Acc. due to gravity(g)+ Lift acceleration(a))
And when lift is moving upward then : 2T = M * (g-a) , and finding out the relation between a and g , i am getting , a=-g/3 , i have a option of g/3 , and i am getting -g/3 .
please correct me where i am wrong.
 
Last edited:
jatin1990 said:
Tension(T) = Mass(m) * Net Acceleration ( Acc. due to gravity(g)+ Lift acceleration(a))

no no no no noooo :redface:

never do that, there is only one acceleration for one body

in other words: you can put as many forces as you like on the LHS of F = ma, but you can only put one acceleration on the RHS​

(of course, you can subtract accelerations of different bodies, to get the relative acceleration of the two bodies, but that's not this case)

g is not an acceleration (on the RHS), mg is a force (on the LHS)

try again! :smile:
 
tiny-tim said:
no no no no noooo :redface:

never do that, there is only one acceleration for one body

in other words: you can put as many forces as you like on the LHS of F = ma, but you can only put one acceleration on the RHS​

(of course, you can subtract accelerations of different bodies, to get the relative acceleration of the two bodies, but that's not this case)

g is not an acceleration (on the RHS), mg is a force (on the LHS)

try again! :smile:

I do not got your last line.
 
you mean? …
g is not an acceleration (on the RHS), mg is a force (on the LHS)

in F = ma, the only a on the RHS is the actual acceleration (what you, for some reason, are calling the "net acceleration" :frown:)

on the LHS, you put all the forces, and that includes the weight, mg :smile:
 
tiny-tim said:
you mean? …


in F = ma, the only a on the RHS is the actual acceleration (what you, for some reason, are calling the "net acceleration" :frown:)

on the LHS, you put all the forces, and that includes the weight, mg :smile:
oh ok , yes got the answer as A = g/3 , but i don't know whether it is correct or not , can u please check it. One more thing i have some questions to ask , can you please answer them here or do i need to start a another thread?
Thank you.
 
jatin1990 said:
oh ok , yes got the answer as A = g/3 , but i don't know whether it is correct or not , can u please check it.

if you want us to check your calculations, you need to show them :wink:
One more thing i have some questions to ask , can you please answer them here or do i need to start a another thread?

always start another thread :smile:
 
when lift is moving upward i got , 2T+mg=-ma and when lift is moving downward , T+mg=ma , and then equate the T from both equations , is it right?
 
  • #10
jatin1990 said:
when lift is moving upward i got , 2T+mg=-ma and when lift is moving downward , T+mg=ma

uhhh? :confused:

how can the tension be in the same direction as the weight??​
 
  • #11
tiny-tim said:
uhhh? :confused:

how can the tension be in the same direction as the weight??​

Sorry for my stupidity , now i got it. As i am touching physics after two years , so this is the result. I hope i will get my command back upon physics with the help of this forum.
Thank you Tiny Tim for answering my questions very quickly every time.
 

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