Two forces 10N and 6N act in the directions 060° and 330° respectively. Find the x- component of their resultant.
-
A.
(5sqrt{3} – 3) -
B.
(3 – 5sqrt{3}) -
C.
(5 – 3sqrt{3}) -
D.
(3sqrt{3} – 5)
Correct Answer: Option A
Explanation
(F = F cos theta i + F sin theta j)
(10N = 10 cos 60 i + 10 sin 60 j)
(6N = -6 cos 330 i – 6 sin 330 j)
(R_{x} = 10 cos 60 – 6 cos 330 )
= (10 times frac{1}{2} – 6 times frac{sqrt{3}}{2})
= (5 – 3sqrt{3})