Statics: Finding the moment on point B?

[Vanessa Avila]

Homework Statement

[/B]
Determine the moment about point B of each of the three forces acting on the beam.

Homework Equations

M = F*d⊥

The Attempt at a Solution

I went and found the components for each of the forces. Please double check it if I did them right:

F₁ :
F_x = 0
F_y = 375 lb

F₂:
F_x = -500(3/5)lb = -300lb
F_y = -500(4/5)lb = -400lb

F₃:
F_x = 160cos30° = 138.6lb
F_y = -160sin30° = -80lb

If those components are right, I'm having trouble finding their perpendicular distances.

 

[Vanessa Avila]

Based on the figure above is the
F*d⊥ for each of the forces are (without the sign convention/right hand method applied):
F₁
F_x1 = 0
F_y1 = 375lb*19ft

F₂
F_x2 = -300lb(0.5ft)
F_y2 = -400lb(19ft)

F₃
F_x3 = 138.6lb(0.5ft)
F_x3 = -80lb(19ft)

I got 19ft by adding the three dimensions below the beam. Is that correct?

 

[David Lewis]

Label forces with F, and moments (force times distance) with M.
To calculate the moment of force F1 about point B, how far is F1 from point B?

 

[Vanessa Avila]

Label forces with F, and moments (force times distance) with M.
To calculate the moment of force F1 about point B, how far is F1 from point B?

Ahh! 11 ft!