Problem $3.($L$.$O$.1\mathrm{.}1-1\mathrm{.}2$

$($Hibbeler$,2015)$

Resolve each force acting on the gusset plate $($Figure $1)$ into its $x$ and $y$ components and express each force as a Cartesian vector.

Then, determine the magnitude of the resultant force acting on the plate and its direction, measured counterclockwise from the positive $x$ axis.

$4$

CIVL$202$ Statics

rev. Summer $2023$

Problem $4.($L$.$O$.1\mathrm{.}1\mathrm{.}2,1\mathrm{.}2\mathrm{.}2\mathrm{.}1)$

$($Hibbeler$,2015)$

If the resultant force of the two tugboats is $3kN,$ directed along the positive $x-$axis, determine the required magnitude of force, $F_B,$ and its direction, $.$

Hint: To "calculate" the resultant by summing the forces in $x$ an $y.$ Then use the known $x$ and $y$ components of the resultant force to write two equations and then solve for two unknowns.

Figure $2.$ Tugboats pulling a barge.