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

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In summary, the conversation is discussing the relationship between weight and tension in a rope, specifically in reference to a diagram that includes a hanging weight and a bottom pulley. The question is if the weight is 7.5 lbs, is the tension in the rope also 7.5 lbs, and if the force on the bottom pulley is 15 lbs. The conversation also brings up the concept of a loadcell and its maximum tension rating of 15 lbs. The speaker is unsure of the force diagram for this configuration and is seeking confirmation or corrections. It is mentioned that the force on the bottom pulley may vary depending on the angles of the ropes.
  • #1
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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  • #2
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.
 
  • #3
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.
 

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

1. What is web tension/force?

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