Solving 3D Statics Problem with 800N Lamp

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To solve the 3D statics problem involving an 800N lamp supported by three cables, it's essential to apply equilibrium equations for the forces in the x, y, and z axes. The challenge arises from the lamp's position not being centered at the origin, complicating the determination of force angles. A helpful approach is to visualize the scenario with a sketch and consider translating the forces to simplify calculations. Once the forces are adjusted to the origin, the problem becomes more manageable. Understanding these concepts is crucial for accurately determining the forces in each supporting cable.
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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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