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The X and Y components of a force F acti...

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

A

`(F)/(sqrt2), F`

B

`(F)/(2), (sqrt3)/(2) F`

C

`(sqrt3)/(2)F, (1)/(2)F`

D

`F, (F)/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`vec(F)= F_(x) hat(i) + F_(y) hat(j)`
`= (F cos theta) hat(i) + (F sin theta) hat(j)`
`theta= 30^(@)`
`vec(F)= ((sqrt3)/(2)F) hat(i) + ((1)/(2)F) hat(j)`
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