Source of deformation on Spinning oblect

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SUMMARY

The discussion centers on the deformation of a spinning sphere in space, specifically examining the roles of centripetal and centrifugal forces. The user posits that these forces, along with elasticity, contribute to the sphere's deformation, referencing Hooke's Law with the equation mωv = -kx. The conversation emphasizes that while centrifugal force is not a real force, it serves as a useful concept in classical mechanics for explaining the sphere's behavior. The user seeks validation of their understanding and calculations regarding these forces.

PREREQUISITES
  • Understanding of classical mechanics principles
  • Familiarity with centripetal and centrifugal forces
  • Knowledge of Hooke's Law and elasticity
  • Basic mathematical skills for manipulating equations
NEXT STEPS
  • Study the implications of centripetal and centrifugal forces in rotating systems
  • Explore advanced applications of Hooke's Law in materials science
  • Investigate the effects of elasticity on deformation in rotating bodies
  • Learn about the limitations of classical mechanics in relativistic contexts
USEFUL FOR

This discussion is beneficial for physics students, mechanical engineers, and anyone interested in the dynamics of rotating objects and material deformation under stress.

quantumfoam
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Homework Statement


Hello guys! Now this is not a homework question, but it may sound like one. If a uniform sized and massed sphere was spinning in space away from any source of forces that could affect it, wouldn't the only forces that act on it are the centripetal and centrifugal? And if this sphere had elasticity, wouldn't the force that is stretching the sphere be either centripetal of centrifugal force? Now I am not including its gravitational force on purpose. Its gravitational field can be negligible. I also know that the centrifugal force is not a real force, but it is useful for explaining some phenomena. I'm using classical mechanics. The sphere will not be spinning at relativistic speeds.


Homework Equations



Well, mathematically, I figured that if the centripetal and centrifugal forces are the sources of deformation of stretching of the sphere, then by using Hooke's Law we find that
mωv=-kx
where mωv is the centripetal or centrifugal force magnitude and -kx is Hooke's Law. Is this right? Or am I forgetting something? I would really appreciate anyone's help. My extremely inferior mind is not sure of itself.:frown:

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