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

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SUMMARY

The discussion focuses on determining the force vector components for TCA in a 3D force system, specifically in relation to TCE and TCD. The force vectors for TCE and TCD are provided as 0i + 0.3685TCEj - 0.9296TCEk and -0.5012TCDi + 0j + 0.8653TCDk, respectively. To find TCA, users are advised to establish equilibrium conditions where the vertical components of TCA and TBA counteract the downward force of the crate, and the horizontal components of TCA and TBA must be equal. This leads to the formulation of two equations to solve for the unknowns.

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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 vertical 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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