Question about the rotating disc

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In the context of special relativity, rotating a disc from rest involves complexities due to the inability to achieve Born rigidity in its acceleration. This suggests that the process of getting the disc to rotate requires work that is influenced by the material's elasticity. The work needed includes not only the kinetic energy increase but also the energy expended in deforming the disc. Thus, the consensus is that more work is necessary than initially assumed. The discussion confirms the need to consider both deformation and kinetic energy when analyzing the work required for rotation.
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Consider a disc in the framework of special relativity. It's initially at rest in an inertial frame, and then you get it rotating in a way that respects the symmetry of the circle (e.g. by turning a thin rod through its center). There's no way that the acceleration of the different parts of the objects can be Born rigid. Does this mean that we have to perform an amount of work that depends on the disc's elasticity to get it rotating?

I'm pretty sure that the answer is yes, but I'd like someone to confirm it or prove me wrong.
 
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You have to perform more work than that. At a minimum there is work that goes into deformation of the material, and there is also the work on increasing the KE of the disk.
 

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