Question

Question #5b790

Answer 1

`"x-component :-3.73 ; y-component :+2.20"`
`"Choice 2"`

Explanation:

`A_x=+ A*cos(60^o)=+6*0.5=+3`
`A_y=+A*sin(60^o)=+6*0.866=+5.196`

`B_x=-B*cos(0^o)=-5*1=-5`
`B_y=B*sin(0^o)=5*0=0`

`C_x=-C*cos(30^o)=-4*0.866=-3.464`
`C_y=-C*sin(30^o)=-4*0.5=-2`

`D_x=+D*cos(30^o)=+2*0.866=+1.732`
`D_y=-D*sin(30^o)=-2*0.5=-1`

`Sigma x=A_x+B_x+C_x+D_x`
`Sigma x=+3-5-3.464+1.732`
`color(red)(Sigma x=-3.73)`

`Sigma y=A_y+B_y+C_y+D_y`
`Sigma y=5.196+0-2-1`
`color(green)(Sigma y=+2.20)`