How Do You Calculate Rope Tension with a Hanging Boy?

  • Thread starter Thread starter CyndiRae
  • Start date Start date
  • Tags Tags
    Equilibrium
Click For Summary
SUMMARY

The discussion focuses on calculating the tension in a rope when a boy weighing 400N hangs in the middle, creating an angle of 170 degrees at his hands. The solution involves using trigonometric principles to resolve the forces acting on the rope. Participants emphasize the importance of accurately drawing the scenario and labeling all components to apply the correct equations effectively. The tension in each segment of the rope can be determined through these calculations.

PREREQUISITES
  • Understanding of basic trigonometry, specifically sine and cosine functions.
  • Familiarity with free body diagrams to visualize forces.
  • Knowledge of equilibrium conditions in physics.
  • Ability to apply Newton's laws of motion to static scenarios.
NEXT STEPS
  • Study the principles of static equilibrium in physics.
  • Learn how to draw and interpret free body diagrams.
  • Explore trigonometric functions and their applications in force resolution.
  • Practice problems involving tension in ropes and pulleys.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of tension calculations in real-world applications.

CyndiRae
Messages
1
Reaction score
0

Homework Statement


A boy weighing 400N hangs on the middle of a rope stretched between two trees. The rope sags in such a way that it makes an angle of 170o at the boy's hands. What is the tension in each rope?


Homework Equations


I'm not sure :S:S



The Attempt at a Solution


Well I drew the question out into a tip-to-tail drawing,
but I'm unsure of what else to do :S
 
Physics news on Phys.org
Well I don't know what your drawing looks like or if you've got everything labelled properly but you should be able to use trig to solve for the tension.
 

Similar threads

Replies
1
Views
2K
Replies
19
Views
2K
Replies
5
Views
8K
  • · Replies 7 ·
Replies
7
Views
9K
Replies
6
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 6 ·
Replies
6
Views
7K
  • · Replies 18 ·
Replies
18
Views
10K
  • · Replies 2 ·
Replies
2
Views
4K