Calculate the vertical and horizontal components for each of

Calculate the vertical and horizontal components for each of the focus shown.

Solution

a)=tan^-1(y/x)

=tan^-1(2/3)

=33.69^o

horizontal component F_x=425 cos33.69^o=353.62N

vertical component F_y=425 sin33.69^o=235.75N

b)

=180⁰+tan^-1(y/x)

=180⁰+tan^-1(12/5)

=247.38^o

horizontal component F_x=110 cos247.38^o=-42.31N

vertical component F_y=110 sin247.38^o=-101.54N

c)

=180⁰-tan^-1(y/x)

=180⁰-tan^-1(4/3)

=126.87^o

horizontal component F_x=3 cos126.87^o=-1.8kips

vertical component F_y=3sin126.87^o=2.4kips