Problem $7$

Determine the following for the situation shown:

a$)$ Lengths of cables $AB$ and $AC(m$ with two decimal places$).$

b$)$ Angle between cables $AB$ and $AC($degrees with one decimal place$).$

c$)$ Cartesian components and magnitude of resultant force $R=F_{AB}+F_{AC}(N$ with no decimal places$).$

d$)$ Angle between the resultant force $R$ and the three Cartesian axes $($degrees with no decimal places$).$

e$)$ Magnitude of the moment produced by force $F_{AB}$ about point $C(N-m$ with no decimal places$).$

f$)$ Magnitude of the moment produced by force $F_{AC}$ about point $B(N-m$ with no decimal places$).$

Answers

a$)L_{AB}=8\mathrm{.}12m,L_{AC}=5\mathrm{.}39m$

b$)=51\mathrm{.}9$

c$)F_{AB}=616i-493j-616k,F_{AC}=1,113i+557j-835k$

$R=F_{AB}+F_{AC}=1729i+64j-1,451k,|R|=2,258N$