Three forces (F_{1} = (8 N, 300°), F_{2} = (6 N, 090°)) and (F_{3} = (4 N, 180°)) act on a particle. Find the vertical component of the resultant force.
-
A.
2 N -
B.
10 N -
C.
((4 + 4sqrt{3})N) -
D.
((6 – 4sqrt{3})N)
Correct Answer: Option D
Explanation
The vertical component = (8 sin 300 + 6 sin 90 + 4 sin 180)
= (-4sqrt{3} + 6 + 0 )
= ((6 – 4sqrt{3}) N)