Equilibrium and principle of triangle of forces

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SUMMARY

The discussion centers on calculating the tension in a rope system with a 10 kg mass suspended from a configuration of two hooks 4 meters apart, creating a triangle with segments of 3 meters and 2 meters. The solution involves applying the sine and cosine rules to determine the tensions in the ropes, which are established as 60N and 40N. The participants emphasize the importance of accurately drawing the force diagram to visualize the forces acting on the mass and the ropes.

PREREQUISITES
  • Understanding of the sine and cosine rules in trigonometry
  • Basic knowledge of forces and tension in physics
  • Ability to draw and interpret force diagrams
  • Familiarity with mass and weight calculations
NEXT STEPS
  • Study the application of the sine and cosine rules in force problems
  • Learn how to construct and analyze free-body diagrams
  • Explore the principles of equilibrium in static systems
  • Investigate tension calculations in different rope configurations
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Students studying physics, particularly those focusing on mechanics and forces, as well as educators looking for practical examples of tension and equilibrium in real-world applications.

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1. Homework Statement
A rope of 5m is fastened to two hooks 4m apart on a horizontal ceiling. To the rope is attached 10kg mass so that the segment of the rope are 3m and 2m.Compute the tension in the string


2. Homework Equations

Sine rule, cosine rule

3. The Attempt at a Solution
check attachment. help urgently!:cry:
 

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Well, have you tried putting the 10 kg mass at the apex of the triangle? What forces might develop as a result?
 
My problem is drawing the diagram i know the things to do. Please can you help me draw the diagram?
 

Attachments

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    ji.jpg
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You have a diagram. With the 10 kg weight attached to the apex of the triangle, what tensions develop in the ropes?
 
60N and 40N
 

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