Mathematica Help with Mathematica: Solving Equations of Equilibrium

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In the discussion about a force analysis project on a front end loader, a user encountered an issue with Mathematica's Solve[] function, which returned an empty set {}. This indicates that there is no possible solution to the equations of equilibrium set up for the links in the project. The lack of guidance in the help documentation on this specific return value prompted the user to seek assistance. The response clarified that an empty set signifies that the equations may be inconsistent or that the system lacks a valid solution.
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I am doing a force analysis project on a front end loader. I have set up equations of equilibrium on all of the links and tried to solve using the built in Solve[] function in Mathematica. The only thing it will return is {}, what does this mean? There is no reference to it in the help guide. Any help is appreciated, thanks
 
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A return of {} means there is no possible solution to the equation.
 

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