Question on vertical pole and equilibrium

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Discussion Overview

The discussion revolves around a problem involving a vertically balanced pole supported by three wires, with a specific focus on calculating the tensions in the wires given that one wire has a known tension of 6000 Newtons. The scope includes mathematical reasoning and equilibrium conditions in a three-dimensional context.

Discussion Character

  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant describes the setup of the problem, noting that the wires form a three-sided pyramid and that the distances and unit vectors are provided.
  • Another participant suggests that to achieve equilibrium, the x and y components of the force vectors must sum to zero.
  • A participant inquires about how to incorporate the 6000N tension into the equations.
  • One participant proposes that after determining the xyz components of the 6000N wire, they can set the components of the other two wires equal to it as a method to find their tensions.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the correct approach to set up the equations for the tensions in the other wires, and there are varying suggestions on how to proceed with the calculations.

Contextual Notes

There may be limitations related to the specific distances and angles of the wires, which could affect the calculations, but these details are not fully resolved in the discussion.

Who May Find This Useful

This discussion may be useful for students or individuals interested in physics problems related to equilibrium, tension in cables, and vector components in three-dimensional space.

vd853
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I have this problem where a pole is vertically balanced, and there are three wires attach on top of it. The wires are fasten to the ground. It looks like a three side pyramid. The question tells me that one of the cable has a tension of 6000 Newtons. How can I find the tension on the other two cable? The wires are not equally distanced. All the lengths are given as well, and I know the unit vectors too.
 

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You need to calculate the components for each force vector (which are directed along the wires). To be in equilibrium the x and y components much each sum to 0.
 
How would I set up the equation with the 6000N?
 
I thought about it. After find the xyz components for the 6000N rope, I made the xyz components of the other two ropes equal to it. Is this the right approach?
 

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