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Learning Goal:

To apply the principle of moments and the principle of transmissibility.

As shown, a rope is attached to a $l=15\mathrm{.}0ft$ high shed that is to be relocated. A man pulls on the end of the rope at point $A$; the rope is attached to the shed at point $B.($Figure $1)$ As the man pulls on the rope, it creates an angle $$ with the horizontal. The end of the rope is located at $x=12\mathrm{.}0ft$ from the shed and $y=4\mathrm{.}50ft$ off the ground. The man pulls on the rope with a force of magnitude $F=35\mathrm{.}0lb.$

Figure

$1$ of $1$

Part A

What is $M_{F_x},$ the contribution to the moment about point $O$ made by the $x$ component of the force $F$ at point $A?$ What is $M_{F_y},$ the contribution to the moment about point $O$ made by the $y$ component of the force $F$ at point $A?$ What is the total moment $M$ due to the force $F$ about point $O?$ Assume that moments acting counterclockwise about point $O$ are positive whereas moments acting clockwise are negative.

Express your answers numerically in pound$-$feet to three significant figures separated by commas.

View Available Hint$($s$)$

$\sqrt[]{}A$

vec

$M_{F_x},M_{F_y},M$

$130\mathrm{.}8,87\mathrm{.}6,218\mathrm{.}5$

$?$

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