Learning Goal:

As shown, a rope is attached to a $l=5\mathrm{.}00m$ 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 $x=4\mathrm{.}60m$ from the shed and $y=1\mathrm{.}60m$ off the ground. The man pulls on the rope with a force of magnitude $F=335N.$

Figure

$3$ of $3$

Correct

The calculation of the moment $M$ about point $O$ due to the force $F$ can be simplified by sliding the force along its line of action another point. Although either point $B$ or $E$ is a valid choice, here the moment $M$ will be calculated by sliding the force $F$ to point $B.$

Part C

Using the principle of transmissibility, the force $F$ can be slid along its line of action to point $B.$ At point $B,$ the force $F$ creates an angle $$ with the shed. $($Figure $3)$ What is $M_{F_z},$ the contribution to the moment about point $O$ made by the $x$ component of the force $F$ at point $B?$ What is $M_{F_v},$ the contribution to the moment about point $O$ made by the $y$ component of the force $F$ at point $B?$ 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 newton$-$meters to three significant figures separated by commas.

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