Holding Up a Sign: Static Equilibrium Force and Torque

[PierceJ]

Homework Statement

You are holding a sign as shown below. The sign (including the horizontal bar it hangs from) has a mass of 1.80 kg and is 36.5 cm wide. The sign is hanging from a 1.30 m tall, 4.16 kg vertical post. The sign is symmetric with a uniform mass distribution as implied by the drawing.

What external force (+ if up, - if down) and torque (+ for CCW, - for CW) do you have to apply with your hand to keep the sign in static equilibrium? [Use g = 9.80 m/s2 and ignore the width of the vertical post.]

Homework Equations

Torque = Fd = 0

The Attempt at a Solution

I'm not quite sure how to deal with the vertical stick.
Torque = F₁d₁ - F₂d₂ - Fd₃ = 0
As far as the set up goes, this is all I've got and I don't think it is correct. I may not be visualizing this problem correctly.

 

[PhanthomJay]

Homework Statement

You are holding a sign as shown below. The sign (including the horizontal bar it hangs from) has a mass of 1.80 kg and is 36.5 cm wide. The sign is hanging from a 1.30 m tall, 4.16 kg vertical post. The sign is symmetric with a uniform mass distribution as implied by the drawing.

What external force (+ if up, - if down) and torque (+ for CCW, - for CW) do you have to apply with your hand to keep the sign in static equilibrium? [Use g = 9.80 m/s2 and ignore the width of the vertical post.]

Homework Equations

Torque = Fd = 0

The Attempt at a Solution

I'm not quite sure how to deal with the vertical stick.
Torque = F₁d₁ - F₂d₂ - Fd₃ = 0
As far as the set up goes, this is all I've got and I don't think it is correct. I may not be visualizing this problem correctly.

There is an external unknown vertical reaction force and an unknown torque at your hand. You should identify these as V and T, respectively. Now apply your equilibrium equations to solve for them. Although explain what F1 ,d1 ,etc. are.

 

[CWatters]

How about starting with a free body diagram?