What is the relationship between hanging weight and tension in a rope?

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SUMMARY

The relationship between hanging weight and tension in a rope is directly proportional when considering a vertical setup. In the discussed scenario, a hanging weight of 7.5 lbs results in a tension of 7.5 lbs in the rope. However, the force on the bottom pulley can vary based on the angles of the ropes; it can be 15 lbs if the angles lead to a doubling of the force. The use of a loadcell rated for 15 lbs indicates that the maximum tension in the line should not exceed 7.5 lbs under these conditions.

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tomizzo
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Hello,

Referring to the attached diagram, if the hanging weight in the picture were to weight 7.5 lbs, would that mean that the tension in rope is 7.5 lbs? Now referring to the bottom pulley, would the force on that pulley be 15 lbs?

I’m working with a design that has a loadcell (force transducer) in place of that bottom pulley. If the loadcell was rated for 15lbs, would that mean that the maximum tension in the line could be 7.5 lbs? I’m an electrical guy but would like some help either confirming my above statements or pointing out incorrections.

Furthermore, I have no idea what a force diagram would look like on this configuration.
 

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tomizzo said:
Referring to the attached diagram, if the hanging weight in the picture were to weight 7.5 lbs, would that mean that the tension in rope is 7.5 lbs?
Yes

tomizzo said:
Now referring to the bottom pulley, would the force on that pulley be 15 lbs?
Depends on the angles of the ropes going to the pulley.
 
A.T. said:
Yes


Depends on the angles of the ropes going to the pulley.

From that drawing, it would roughly be double? But I see what you're saying about the angles.
 

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