A force 10N acts in the direction 060° and another force 6N acts in the direction 330°. Find the y component of their resultant force.
-
A.
((3 + 3sqrt{3})N) -
B.
((-3 + 5sqrt{3})N) -
C.
((5 + 3sqrt{3})N) -
D.
((5 + 5sqrt{3})N)
Correct Answer: Option B
Explanation
(F = Fcos theta + Fsin theta) (Resolving into its components)
(10N = 10 cos 60, 10 sin 60)
(6N = 6 cos 330, 6 sin 330)
(R = F_{1} + F_{2} = (10 cos 60, 10 sin 60) + (6 cos 330, 6 sin 330))
The y- component : (10 sin 60 + 6 sin 330 = 10 times frac{sqrt{3}}{2} + 6 times frac{-1}{2})
= ((5sqrt{3} – 3)N)