Answer:
Explanation:
Looking at the left string node
sum vertical forces to zero
T₁cos35 - 40 = 0
T₁ = 40/cos35 = 48.83 N
Sum horizontal forces to zero
T₂ - T₁sin35 = 0
T₂ = 48.83sin35 = 28.01 N
Now consider the right string node
Sum horizontal forces to zero
T₃sinθ - T₂ = 0
Τ₃ = T₂/sinθ
sum vertical forces to zero
T₃cosθ - 50 = 0
(T₂/sinθ)cosθ = 50
T₂cotθ = 50
cotθ = 50/28.01
θ = 29.256067...°
θ = 29°
Τ₃ = T₂/sinθ
Τ₃ = 28.01/sin29.256067
Τ₃ = 57.3102...
Τ₃ = 57 N
