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

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The tension in the rope is equal to the hanging weight of 7.5 lbs, assuming a vertical configuration. The force on the bottom pulley can be 15 lbs, but this is contingent on the angles of the ropes attached to it. If the loadcell is rated for 15 lbs, the maximum tension in the line would indeed be 7.5 lbs under ideal conditions. The discussion highlights the importance of considering rope angles when calculating forces in pulley systems. Understanding these dynamics is crucial for accurate design and measurement in such configurations.
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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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