&nbsp;Two snowcats tow a housing unit to a new location at McMurdo Base, Antarctica, as shown in the figure. The sum of the forces&nbsp;FA&nbsp;and&nbsp;FB&nbsp;exerted on the unit by the horizontal cables is parallel to the line L, and&nbsp;FA=4200&nbsp;N. Determine&nbsp;FB? Determine the magnitude of&nbsp;FA+FB?

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2021-02-19

Two snowcats tow a housing unit to a new location at McMurdo Base, Antarctica, as shown in the figure. The sum of the forces $F_{A}$ and $F_{B}$ exerted on the unit by the horizontal cables is parallel to the line L, and $F_{A} = 4200$ N. Determine $F_{B}$ ? Determine the magnitude of $F_{A} + F_{B}$ ?

Answer & Explanation

l1koV

Skilled2021-02-21Added 100 answers

sum of forces is along line L
so they must be balancing in horizontal components

F_{b} \sin (30) = F_{a} \sin (50)

F_{b} \sin (30) = 4200 \sin (50)

F_{b} = 6434.7733222 N

net force

F_{a} + F_{b} = F_{a} \cos (50) + F_{b} \cos (30)

= 4200 \cos (50) + 6434.7733222 \cos (30)

= 8272.3851253

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