Three Dimentional Force System

[camino]

Homework Statement

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

Homework Equations

The Attempt at a Solution

So far I found T_CE and T_CD, but I am not sure how to find the components for T_CA.

T_CEforce vector = 0i + 0.3685T_CEj - 0.9296T_CEk

T_CDforce vector = -0.5012T_CDi + 0j + 0.8653T_CDk

T_CAforce vector = ?

I'm not sure how to get the force vector components for T_CA from the figure. Can anyone help?

 

[Q_Goest]

The crate produces a force down which must be opposed by the sum of verticle components of T_CA and T_BA. Also, the horizontal components of T_CA and T_BA 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.

 

[tomcue]

I would like to offer some guidance on how to approach this problem. Firstly, it is important to understand the concept of a three-dimensional force system. This means that the forces are acting in three different directions, and their components must be calculated accordingly.

To find the components of TCA, we can use the concept of vector addition. TCA is acting in the same direction as TCD, but in the opposite direction. This means that the x and z components of TCA will be the same as TCD, but the y component will be negative. Therefore, the force vector for TCA can be written as:

TCAforce vector = -0.5012TCDi - 0.3685TCEj - 0.8653TCDk

It is also important to note that the forces are acting at different points in space. This means that the moment arm (perpendicular distance) for each force must be taken into account when calculating the net moment.

Overall, it is important to approach this problem systematically and carefully consider the direction and magnitude of each force and their components. I hope this helps you in your solution.