How to Find the Components of TCA in a 3D Force System?

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To find the components of TCA in a 3D force system, it is essential to establish equilibrium conditions based on the forces acting on the crate. The vertical components of TCA and TBA must counterbalance the downward force produced by the crate, while the horizontal components must be equal for equilibrium. The user has already determined the force vectors for TCE and TCD, which can be used to set up two equations involving TCA. By solving these equations, the unknown components of TCA can be calculated. Properly applying these principles will lead to the correct solution for TCA's force vector components.
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Homework Statement



http://img196.imageshack.us/img196/3227/problem2d.jpg

Homework Equations





The Attempt at a Solution



So far I found TCE and TCD, but I am not sure how to find the components for TCA.

TCEforce vector = 0i + 0.3685TCEj - 0.9296TCEk

TCDforce vector = -0.5012TCDi + 0j + 0.8653TCDk

TCAforce vector = ?

I'm not sure how to get the force vector components for TCA from the figure. Can anyone help?
 
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The crate produces a force down which must be opposed by the sum of verticle components of TCA and TBA. Also, the horizontal components of TCA and TBA must be equal in order for them to be in equilibrium.

You should be able to write out two equations and solve for the two unknowns.
 
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