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Emmanuel José García's user avatar
Emmanuel José García's user avatar
Emmanuel José García's user avatar
Emmanuel José García
  • Member for 2 years, 5 months
  • Last seen more than a month ago
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Equilibrium problem with 3 unknown forces | Hanging mass
Yes, I now think the solutions are infinite. But I dont get why my equations gave the values I have in my scaled diagram.
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Equilibrium problem with 3 unknown forces | Hanging mass
What are the possible solutions according to you?
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Equilibrium problem with 3 unknown forces | Hanging mass
In other words, the heads of the vectors of T1 and T2 do not form a horizontal line.
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Equilibrium problem with 3 unknown forces | Hanging mass
I think your diagram is wrong because you are assuming that the head of the vector of T2 hangs from the intersection formed by the horizontal line and the vertical line. But the vector head of T2 just hangs from the vertical line. It doesn't touch the ceiling. Sorry for the bad drawing.
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Equilibrium problem with 3 unknown forces | Hanging mass
What are the tensions in the three cables according to your approach?
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The generalized Lami's theorem
I am working on a method that replaces the use of vector components (as Lami's theorem does for three-force systems) for four-force based systems, both in 2D and 3D. So any approach based on vector components falls outside my purposes.
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The generalized Lami's theorem
I have motivated and improved the details of my question. I have also removed the unnecessary version for cyclic quadrilateral of forces.
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The generalized Lami's theorem
However, I have never seen Lami's theorem for 4 vectors, do you have a reference?
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The generalized Lami's theorem
I have edited my question to include a generalization for a general quad where I remove the angles restriction. Are cranes designed using quadrilateral of forces? Because all cranes I have seen use a triangle of forces.
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The generalized Lami's theorem
I have generalized the result for a general quad.
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The generalized Lami's theorem
I have improved the question adding more context.
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