Consider a 500-N weight suspended by two wires as shown in the figure. Find the magnitude and components of the force vectors F ₁ and F ₂ .

|F ₁ | = ?

F1 45 500-N F Sin(20) + FSin(45) = 500N -F Cos(20) + F Cost(45) = 0 Cos(20) = FCost(45) F = FCost(45)/Cos(20) (FCost(45)/Cos(20))Sin(20) + F Sin(45) = 500N FCos(45) + FSin(45) = 500N F = 500 Cos(45) + Sin(45) F = 266.04 = 353.553