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Hello all,

I have been racking my brain with this one all day and I can't seem to figure it out. I have been looking into the forces that would arise from wrapping a string, wire, etc. around your finger. The scenario is illustrated in the attachment. Basically the question is, if we start to pull on both ends of the string with some force, F, eventually the loop will tighten around the finger. I am curious, what kind of radial force would be generated here? If we assume that the finger is not compressible, then a greater and greater force will build the more force we apply at the ends, right? I am basically looking for an equation that would translate a horizontal forces on the ends throughout the loop. I understand that will probably relating the force applied and the angle of loop and what not. If it is a FEM type of question, fine, I just want to figure it out.

THANKS!

I have been racking my brain with this one all day and I can't seem to figure it out. I have been looking into the forces that would arise from wrapping a string, wire, etc. around your finger. The scenario is illustrated in the attachment. Basically the question is, if we start to pull on both ends of the string with some force, F, eventually the loop will tighten around the finger. I am curious, what kind of radial force would be generated here? If we assume that the finger is not compressible, then a greater and greater force will build the more force we apply at the ends, right? I am basically looking for an equation that would translate a horizontal forces on the ends throughout the loop. I understand that will probably relating the force applied and the angle of loop and what not. If it is a FEM type of question, fine, I just want to figure it out.

THANKS!