Solving 3D Statics Problem with 800N Lamp

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SUMMARY

The discussion focuses on solving a 3D statics problem involving a lamp weighing 800N supported by three cables. The key equations used are the sum of forces in the x, y, and z axes, which must equal zero for equilibrium. A participant initially struggles with determining the angles of the forces due to the lamp's position not being centered at the origin but later realizes that translating the forces to the origin simplifies the problem. This insight is crucial for correctly analyzing the forces in the system.

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  • Understanding of 3D statics and equilibrium conditions
  • Familiarity with vector components and force resolution
  • Knowledge of trigonometry for angle calculations
  • Ability to create and interpret free-body diagrams
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Students in engineering or physics courses, particularly those studying statics, as well as educators looking for examples of force analysis in three-dimensional systems.

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Homework Statement



Three cables are used to support a lamp that weighs 800N. Determine the force in each supporting cable when everything is at equilibrium.


Homework Equations



ƩF in the x-axis = 0
ƩF in the y-axis = 0
ƩF in the z-axis = 0

The Attempt at a Solution



I really don't know how to start this problem. I get the concept of breaking up the components and adding all the forces up in each axis. But what throws me off about this problem is that it isn't centered at the origin. How am I supposed to find the angles of the forces with respect to an axis if the force isn't coming out of the origin?https://mail-attachment.googleusercontent.com/attachment/u/0/?ui=2&ik=dbdf3b9707&view=att&th=13a219c1fc5c23ec&attid=0.1&disp=inline&realattid=f_h7t12d950&safe=1&zw&saduie=AG9B_P-8Wo1xJnmuljT9i03--InW&sadet=1349183678622&sads=Kf9SObn1yzuJjVHHS6SmBxLnTK0&sadssc=1
 
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A sketch of the situation would be helpful.
 
Oh pffft nevermind. I just realized that you can move the forces over so that everything is at the origin.
 

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