The X and Y components of a force F acting at `30^(@)` to x- axis are respectively

Options

A. `(F)/(sqrt2) , F `
B. `(F)/(2) , (sqrt3)/(2)"" F`
C. `(sqrt3)/(2)"" F , (1)/(2)"" F `
D. `F , (F)/(sqrt2)`

Answer

C

Explanation

The X component of force F is `F_(s) = F cos 30^(@) = F xx (sqrt3)/(2) = (sqrt3)/(2) F`
The Y compound of force F is
`F_(y) = F sin 30^(@) = F xx (1)/(2) = (F)/(2)`