Answer:
Explanation:
Weight, W = 20240 lbs
Let the tension in one cable is P and in another cable is Q.
α = 24.3°, β = 44.5°
Use Lami's theorem
[tex]\frac{P}{Sin(90+44.5)}=\frac{Q}{Sin(90+24.3)}=\frac{W}{Sin(180-44.5-24.3)}[/tex]
[tex]\frac{P}{Sin(134.5)}=\frac{Q}{Sin(114.3)}=\frac{20240}{Sin(111.2)}[/tex]
[tex]P=\frac{20240\times Sin 134.5}{Sin(111.2)}=\frac{14436.19}{0.93}[/tex]
P = 15484.1 lbs
[tex]Q=\frac{20240\times Sin 114.3}{Sin(111.2)}=\frac{18446.8}{0.93}[/tex]
Q = 19835.3 lbs
