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The generalized Lami's theorem

Is Lami's theorem used in the design of cranes as the image below suggest? enter image description here If so, could the generalization presented in this link

https://math.stackexchange.com/questions/4490209/generalizing-lamis-theorem

be used in the design of more efficient cranes given that we have 4 vectors instead of 3? Sorry if this question is stupid.