Consider $(Figure1).$ Set $=34.$ The resultant force acting $on$ the bracket Part $B$

Determine the magnitude $of$ the resultant force.

Express your answer $to$ three significant figures and include the appropriate units.

View Available Hint$(s)$

Hint $1.$ Finding the resultant force using scalar notation

Hint $2.$ Finding the minimum $of$ the resultant force using derivatives

Figure

$F_R=$

$$ Incorrect; Try Again; $5$ attempts remaining

$is$ required $tobe$ a minimum.

Part $A$

Determine the magnitude $of{F}_1.$

Express your answer $to$ three significant figures and include the appropriate units.

View Available Hint$(s)$

Hint $1.$ Finding the resultant force using scalar notation

Consider resolving each $of$ the forces $on$ the figure into its $x$ and $y$ rectangular components, and then summing them algebraically, taking into account the positive

direction $of$ each axis. The magnitude $of$ the resultant force can $be$ found from the Pythagorean theorem; that $is{F}_R=\sqrt[\phantom{2}]{(F_R{)}_x^2+(F_R{)}_y^2}$

Hint $2.$ Finding the minimum $of$ the resultant force using derivatives

$In$ this problem $it$ may $be$ easier $to$ determine the minimum $of$ the resultant force using derivatives. $In$ order for the function $of$ the resultant force $F_R(F_1)to$ reach $a$

minimum $at$ point $F_1,itis$ necessary that $\frac{d{F}_R}{d{F}_1}=0.By$ applying this condition you can determine the magnitude $of$ the force $F_1$ that delivers a minimum $of$ the

resultant force $F_R.$

$F_1=$

$F_1$ is not $0.$