Required information
Process-Oriented Problem 03.004 - Moment of force about a Point using moment analysis
The rectangular platform OCDE is being held in a horizontal position by a cable that passes through a ring at F and is attached to hooks at A and B. The tension in the cable is 425 N. You want to examine the rotational effects of portion FA of the cable on platform OCDE using moment analysis.
Process-Oriented Problem 03.004.J - Moment of force about a Point using moment analysis
Using the unit vector for axis CE, $\vec{\lambda}_{CE} = (0.916)\hat{i} - (0.401)\hat{k}$, a position vector defining the line of action of the force on point F of platform OCDE by portion FA of the cable (any valid answer from part.I), and the force vector representing the tension force in portion FA of the cable (from part.b), calculate the magnitude of the moment of the previously mentioned force about axis CE in the system using the mixed triple product of three vectors: $\lambda_{CE} \cdot (\vec{r} \times \vec{T}_{FA})$. Recall that there are different options for the position vector. Feel free to use whichever one you desire.
The direction from E to C could just as easily have been chosen as the positive direction of that axis, which would result in a moment of $\boxed{\phantom{000}}$ N-m.
