Helix Formation with Elastic Rope: Equations of Motion for X(t) and (Theta)(t)

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The discussion centers on deriving the equations of motion X(t) and Θ(t) for a system involving an elastic rope forming a helix, connecting two masses, one fixed. The setup includes N turns of the helix with a radius r and a natural length X_0 between the masses. The moment of inertia is given as I = mr², indicating the circular motion of the masses. Participants suggest that a diagram could clarify the complex relationships and dynamics involved. The conversation emphasizes the need for precise mathematical modeling to understand the motion of the system.
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If I have an elastic formin a helix which I've turned N times and have a radiu r... it connect two masse m (one of them is fixed) - the natural length of the ropes are X_0 (the distance between the masses)
what are the equation of motion X(t) and (Theta)(t) ??
 
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this masses are cirular of radiu r, that is: I=mr²
 
ur english is really confusing, maybe u want to try drawing a diagram?
 

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