Pulley System Question: Find Relationship Between Force and Tension

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SUMMARY

The discussion focuses on the relationship between the applied force (F2) and the tension (T) in a movable pulley system. It is established that when the pulley is considered ideal (light and frictionless), the tension remains constant throughout the cable. The conclusion drawn is that for a simple movable pulley, the relationship can be expressed as 2F = T, indicating that the tension in the cable is double the force applied at the free end. The specific tension value discussed is 50N, leading to the assertion that F equals T under certain conditions.

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Homework Statement


Hi Guys,

I am looking at a simple movable pulley system like the one two in from the left. I am trying to work out the relationship between the force applied to the free end (called F2 in the picture) and the tension in the cable

Homework Equations

The Attempt at a Solution

450px-Four_pulleys.svg.png
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I think that you add the tension in each section of cable so then 2F = T, the tension in the cable is double the force F2 but I'm not sure. Is that correct?

Thanks!
 
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But the tension in the cable is given in the figure. F2 equals ____?
 
PhanthomJay said:
But the tension in the cable is given in the figure. F2 equals ____?

The tension is 50N so then F = T, as it is for all the options here. Does that mean that F always = T?
 
"Does that mean that F always = T?"
What do you mean? What is F? And what is T?
Depends what F is and what T is. Here FL certainly doesn't equal the tension in the rope.

When we assume the rope is light and frictionless (which of course it never is!), then the tension in the rope is the same at all points.
 

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