Finding force on a pole held by wires using vectors

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SUMMARY

The discussion focuses on calculating the forces acting on a pole supported by three wires under maximum load using vector analysis. Participants emphasize that each wire contributes equally to the vertical load, resulting in a total load that is three times the tension in a single wire. The mathematical relationship involving cosine is highlighted, specifically the formula Cos(θ) = Adjacent/hypotenuse, which is essential for determining the components of the forces acting on the pole.

PREREQUISITES
  • Understanding of vector analysis
  • Familiarity with trigonometric functions, particularly cosine
  • Basic knowledge of static equilibrium in physics
  • Experience with tension forces in structural mechanics
NEXT STEPS
  • Study vector decomposition in physics
  • Learn about static equilibrium and force balance
  • Explore trigonometric applications in engineering problems
  • Investigate tension calculations in multi-wire systems
USEFUL FOR

This discussion is beneficial for physics students, structural engineers, and anyone involved in analyzing forces in static systems, particularly those working with tension in cables and supports.

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What are all the forces (magnitude and direction) acting on the top of the pole when it's under maximum load?
What are their components in the vertical direction?
 
What haruspex said. Work out what each wire contributes to the vertical load on the pole. As all wires have same tension and geometry the total load is three times that.

It might help to remember that..

Cos(θ) = Adjacent/hypotenuse
= Adjacent/√(Adjacent2+Oposite2)
 

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