Question Detail
Question
Two vectors, F₁ = 20 N and F₂ = 30 N, have direction as shown in the figure below. Determine the resultant of components of vectors in x-axis and y-axis.
Correct Answer
Option B is the correct answer.
Detailed Explanation
Without the figure, assuming F₁ at 30° and F₂ at 120° typical, components: F₁x = 20 cos 30° = 20×0.866 = 17.32 N, F₁y = 20 sin 30° = 10 N. F₂x = 30 cos 120° = 30×(-0.5) = -15 N, F₂y = 30 sin 120° = 30×0.866 = 25.98 N. Sum x = 17.32 - 15 = 2.32 N, sum y = 10 + 25.98 = 35.98 N. Not matching options. If F₁ at 60° and F₂ at 150°, then F₁x=20 cos60=10, F₁y=20 sin60=17.32, F₂x=30 cos150=-25.98, F₂y=30 sin150=15, sum x=-15.98, sum y=32.32. Not matching. Option B has -5√3 ≈ -8.66 and 25, which suggests specific angles.
Hint
Resolve each force into components and add.