Question

The $X$ and $Y$ components of a force $F$ acting at ${30}^o$ 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

The correct option is C $\frac{\sqrt{3}}{2}F,\frac{1}{2}F$

X component of force $F_x=F\cos {30}^o$

$⟹$ $F_x=\frac{\sqrt{3}}{2}F$

Y component of force $F_y=F\sin {30}^o$

$⟹$ $F_y=\frac{1}{2}F$