Express the force F = (8 N, 150°) in the form (a i + b j) where a and b are constants.
-
A.
(4sqrt{3} i – 4j) -
B.
(4 i – 4sqrt{3} j) -
C.
(- 4 i + 4sqrt{3} j) -
D.
(- 4sqrt{3} i + 4j)
Correct Answer: Option D
Explanation
(F = Fcos theta i + F sin theta j)
((8 N, 150°) = 8 cos 150 i + 8 sin 150 j)
= (- 8 cos 30 i + 8 sin 30 j)
= (-8(frac{sqrt{3}}{2}) i + 8(frac{1}{2} j)
= (-4sqrt{3} i + 4 j)