Exerting torque on an extension spring to overcome friction in a helical tube

AI Thread Summary
The discussion focuses on modeling the potential energy buildup in an extension spring when twisted while constrained in a helical tube. Participants explore the calculation of strain energy resulting from bending the spring into different radii due to torsion. The conversation emphasizes that if the spring does not undergo plastic deformation, the strain energy corresponds to the increase in potential energy. The need for a specific equation to accurately represent this energy change is highlighted. Understanding these dynamics is crucial for applications involving torque and friction in constrained spring systems.
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Does anyone know of an equation that models the build up of potential energy in an extension spring induced by twisting it when its motion is otherwise constrained in the transverse direction?
 
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You could calculate the strain energy due to bending the spring into a larger (or smaller) radius from the torsion. If it doesn't plastically deform the spring, the strain energy would be that increase in potential energy.
 
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