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How can the motion of a ball connected to spring, with some initial angular velocity be described mathematically for any general initial elongation and initial velocity?

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I have made some equations like of energy conservation and angular momentum conservation and Hookes' law but do not know how to proceed further.

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  • $\begingroup$en.wikipedia.org/wiki/Elastic_pendulum$\endgroup$
    – Vincent Thacker
    CommentedApr 24 at 20:15
  • $\begingroup$Did you try using Newton’s Second Law?$\endgroup$
    – Ghoster
    CommentedApr 24 at 20:18
  • $\begingroup$I recommend using a polar coordinate system to describe the motion. Then use either the standard Newtonian or Lagrangian methods to recover the equations of motion.$\endgroup$
    – DanDan面
    CommentedApr 24 at 20:27

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