Question F2.18: Determine the resultant force acting on the hook....

Determine the resultant force acting on the hook.

2-18
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\mathbf{F}_{1}=\left(\frac{4}{5}\right)(500  \mathrm{lb}) \mathbf{j}+\left(\frac{3}{5}\right)(500  \mathrm{lb}) \mathbf{k}

=\{400 \mathbf{j}+300 \mathbf{k}\}  \mathrm{lb}

\mathbf{F}_{2}=\left[(800  \mathrm{lb}) \cos 45^{\circ}\right] \cos 30^{\circ} \mathbf{i}

+\left[(800  \mathrm{lb}) \cos 45^{\circ}\right] \sin 30^{\circ} \mathbf{j}

+(800  \mathrm{lb}) \sin 45^{\circ}(-\mathbf{k})

=\{489.90 \mathbf{i}+282.84 \mathbf{j}-565.69 \mathbf{k}\}   \mathrm{lb}

\mathbf{F}_{R}=\mathbf{F}_{1}+\mathbf{F}_{2}=\{490 \mathbf{i}+683 \mathbf{j}-266 \mathbf{k}\}  \mathrm{lb}

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