Finding Tension in Rope connected to rod

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    Rod Rope Tension
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SUMMARY

The discussion focuses on calculating the tension in a rope connected to a rod subjected to an 80 lb downward force. The rod, equipped with rollers at both ends, rolls down a wall while the rope is anchored at a height of 2 feet. Participants emphasize the importance of understanding reaction forces produced by the rollers and how these differ from pinned connections. To find the tension, one must resolve the reaction loads at the rod's bottom end into components that are parallel to the rope.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Knowledge of reaction forces in mechanical systems
  • Familiarity with vector resolution techniques
  • Basic mechanics of materials, specifically regarding tension
NEXT STEPS
  • Study the principles of static equilibrium in mechanical systems
  • Learn about reaction forces in roller versus pinned connections
  • Explore vector resolution methods for force components
  • Investigate tension calculations in ropes and cables under load
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Mechanical engineers, physics students, and anyone involved in analyzing forces in structural systems will benefit from this discussion.

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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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:
 
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.
 

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