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 $395$ N $.$ You want to examine the rotational effects of portion FA

of the cable on platform OCDE using moment analysis.

Process$-$Oriented Problem $03\mathrm{.}004.$j $-$ Moment of force about a Point using moment analysis

Using the unit vector for axis $CE,$vec$({}_{CE})=(0\mathrm{.}916)hat(i)-(0\mathrm{.}401)hat(k),$ 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: ${}_{CE}^{}*((r^{})(T_{FA}^{})).$ 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

N$.$m$.$