# Challenging

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
×