The right triangular plate shown in $($Figure $1)$ has length AB

$=120$ cm

$,$ point A located on the x

$-$axis $66$ cm

from the origin, point C on the y

$-$axis $62$ cm

from the origin, and thickness of t

$=12$ cm

$,$ and it is being lifted by two forces. One force F$1$

$=150$ N

is applied vertically at the point B

$.$ The second force F$2$

$=105$ N

is applied as shown with $\backslash$Delta x

$=35$ cm

and $\backslash$Delta y

$=50$ cm

$,$ parallel to the yz

$-$plane, and at an angle $60$

up from the xy

$-$plane. Determine the total moment of both forces around the axis along the bottom edge of the plate from A

to C

$.$

Figure$1$ of $1$

An x y z coordinate system has a triangular plate A B C parallel to the x y plane. Point A is on the positive x axis, point C is on the positive y axis, and point B is in the first quadrant of the x y plane. Force F sub $1$ acts up on the top of the plate at B$.$ Force F sub $2$ acts on the top of the plate at a point delta x units in the negative x direction and delta y units in the positive y direction from A$.$ The thickness of the plate is t$.$

Part A

What is the moment of F$1$

about the specified axis? Use the right$-$hand rule to determine the sign of the moment.

Express your answer to three significant figures with appropriate units.

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