Question

The $X$ and $Y$ components of a force $F$ acting at $30^\circ$ to $x-axis$ are respectively

• A. $\frac {F}{ \sqrt {2}},F$
• B. $\frac {F}{2} , {\frac {\sqrt{3}} {2}}F$
• C. ${\frac {\sqrt{3}} {2}}F,\frac {1}{2} F$
• D. $F,{\frac {F} {\sqrt{2}} }$

Answer 1

Answer: (C)

${\frac {\sqrt{3}} {2}}F,\frac {1}{2} F$

Answer 2

$F_{x}=F \cos 30^{\circ}=\frac{\sqrt{3}}{2} F$ $F_{y}=F \sin 30^{\circ}=\frac{1}{2} F$