Question

Question #3419a

Answer 1

(a) `460.0N`, rounded to one decimal place.
(b) `372.6N`, rounded to one decimal place.

Explanation:

The figure above shown the position of the force vector whose `x` and `y` components are to be resolved.
(a) the `x` scalar component `F_x=Fcos 39^@`
Inserting value of `cos` from tables
`=>F_x=Fxx0.7771= 592xx0.7771`
`=460.0N`, rounded to one decimal place.

(b) `y` scalar component of the vector `F_y=-Fsin 39^@`
(`-ve` sign has been placed in front as the angle is in the fourth quandrant or `F_y` is in the `-y` direction).
Inserting value of `sin` from tables
`=>F_y=Fxx0.6293=592xx0.6293`
`= 372.6N`, rounded to one decimal place.