The magnitude of vector F2 is 12 N and the value of the missing angle a is 16.2⁰.
The magnitude of vector F2
The sum of the upward forces is equal to sum of the downward forces.
F₁ + F₂ = F₃
F₂ = F₃ - F₁
F₂ = 50 N - 38 N
F₂ = 12 N
The missing angle a
The value of the missing angle is determined by applying sine rule.
[tex]\frac{F_2}{sin (a)} = \frac{F_1}{sin(62)} \\\\\frac{12}{sin (a)} = \frac{38}{sin(62)} \\\\sin(a) = \frac{12 \times sin(62)}{38} \\\\sin(a) = 0.279\\\\a = sin^{-1} (0.279)\\\\a = 16.2 \ ^0[/tex]
Thus, the magnitude of vector F2 is 12 N and the value of the missing angle a is 16.2⁰.
Learn more about concurrent forces here: https://brainly.com/question/20165540
