Solving for Force Q to Achieve Equilibrium for 2 Rods Connected by a Wire

AI Thread Summary
To solve for the tension in the wire and the force Q required for equilibrium, the problem involves two collars connected by a 525-mm wire, with a force P of 341 N applied vertically to collar A. Given the positions y=155 mm and x=200 mm, the z component of the wire is calculated to be 460 mm. The equilibrium equations are established, but there is confusion regarding the application of Newton's third law and the components of tension. The key is to ensure that the sum of forces in the x, y, and z directions equals zero, indicating that the hidden force must counterbalance the tension in the wire. A clear understanding of these forces is essential to find the correct values for tension and force Q.
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1. Collars A & B are connected by a 525-mm long wire and can slide freely on frictionless rods. If force P= (341 N)j is applied to collar A determine the tension of the wire when y=155mm and the magnitude of force Q(which is along the z axis) to maintain equilibrium

2. Homework Equations
\SigmaF=0

\overline{v}=\sqrt{vx^2+vy^2+vz^2}

3. The Attempt at a Solution

I was given y was 155mm and x=200mm and found the z value of the wire to be 460mm. I then created a unit vector for the wire and came up with these equilibrium formulas:

\SigmaFx=200/525Tab=0 (Something is wrong here)

\SigmaFy=-155/525Tab=-341N

\SigmaFz=Q+460/525Tab=0

Now I'm stuck...can anyone lead me in the right direction?
 
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