A ring of mass \(m\) slides on a smooth vertical rod. A light string is attached to the ring and is passing over a smooth pulley over a smooth peg at a distance \(a\) from the rod, and at the other end of the string is a mass \(M>m\). The ring is held on a level with the peg and released. What is the distance traveled before it comes to rest for first time?

Assumptions and Details

  • \(M=20\) kg
  • \(m=10\) kg
  • \(a=3\) m

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