Finding Tension in Rope connected to rod

In summary, the rod has rollers at both ends and rolls down the wall and to the right as a force is applied (80lbs). The rope is connected to the wall at 2 feet and to the end of the rod, creating a tension in the rope. To find the tension in the rope due to the 80 lb force in the downward direction, one must determine the reaction forces at the bottom end of the rod, resolve them into components perpendicular and parallel to the rope, and then take the parallel vector as the tension in the rope.
  • #1
m3112369
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The rod has rollers at both ends and rolls down the wall and to the right as a force is applied (80lbs), the rope is connected to the wall at 2 feet and to the end of the rod, as a force is applied to the rod there becomes a tension in the rope. Find the Tension in the Rope due to the rod incurring a 80 lb force in the downward direction.
 
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  • #2
Welcome to PF!

m3112369 said:
View attachment 13080The rod has rollers at both ends and rolls down the wall and to the right as a force is applied (80lbs), the rope is connected to the wall at 2 feet and to the end of the rod, as a force is applied to the rod there becomes a tension in the rope. Find the Tension in the Rope due to the rod incurring a 80 lb force in the downward direction.

Hi m3112369! Welcome to PF! :smile:

(In this forum, you should show us the "relevant equations" and your attempt at a solution before we help you - then we can see what's worrying you!)

What method have you tried for this problem? How far did you get? :smile:
 
  • #3
This will get moved to the homework section. However, you need to think about what kind of reaction forces a roller can produce. How would it be different if it was pinned or something else. Every type of connection can supply different combinations of reaction loads. Once you have that, you need to work out the reaction loads at the bottom rod end. That will give you a force that you can then resolve into components perpendicular and parallel to the rope. You want the parallel vector.
 

What is tension in a rope?

Tension is the force that is transmitted through a rope when it is pulled tight by objects on either end. It is a measure of the resistance of the rope to being stretched or compressed.

How is tension calculated?

Tension in a rope can be calculated by using the formula T = F * sin(θ), where T is the tension, F is the force applied to the rope, and θ is the angle between the rope and the direction of the force. This formula is based on the principles of trigonometry.

What factors affect the tension in a rope connected to a rod?

The tension in a rope connected to a rod can be affected by several factors, such as the weight of the objects attached to the rope, the angle at which the rope is pulled, the length and elasticity of the rope, and the strength of the rod.

What happens to the tension in a rope if the angle of pull changes?

If the angle of pull on a rope connected to a rod changes, the tension in the rope will also change. As the angle increases, the tension in the rope will increase. Conversely, as the angle decreases, the tension in the rope will decrease.

Why is it important to find tension in a rope connected to a rod?

Finding the tension in a rope connected to a rod is important in many scientific and engineering applications. It can help determine the stability and safety of structures, predict the behavior of ropes under different loads, and ensure that the rope and rod are not being subjected to excessive forces that could cause them to fail.

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