Pulley System Question: Find Relationship Between Force and Tension

In summary, the conversation is about a simple movable pulley system and the relationship between the force applied to the free end (F2) and the tension in the cable. The suggested solution is to add the tension in each section of cable, but it is unclear if this is correct. The tension in the cable is given in the figure as 50N and there is a discussion about whether F always equals T, but it is dependent on the assumption that the rope is light and frictionless.
  • #1
GBA13
73
0

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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  • #2
But the tension in the cable is given in the figure. F2 equals ____?
 
  • #3
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?
 
  • #4
"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.
 

FAQ: Pulley System Question: Find Relationship Between Force and Tension

1. What is a pulley system?

A pulley system is a simple machine that consists of a rope or cable wrapped around a wheel or rotating drum. It is used to lift or move heavy objects by applying force to the rope or cable.

2. How does a pulley system work?

A pulley system works by changing the direction of the force applied to the rope or cable. When a force is applied downward on one side of the rope, the object on the other side is lifted upward.

3. What is the relationship between force and tension in a pulley system?

In a pulley system, the force applied to the rope or cable is equal to the tension in the rope. This means that the more force applied, the greater the tension in the rope and the heavier the object that can be lifted.

4. How does the number of pulleys affect the relationship between force and tension?

The number of pulleys in a system affects the relationship between force and tension by increasing the mechanical advantage. This means that with more pulleys, less force is required to lift a heavy object, but the tension in the rope is also increased.

5. What are some real-life examples of pulley systems?

Pulley systems are commonly used in elevators, cranes, and construction equipment. They are also used in household items such as window blinds, garage doors, and clotheslines. In sports, pulleys are used in rock climbing and sailing to lift and hoist heavy objects.

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