Speed of half a chain falling off of a table

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SUMMARY

The discussion focuses on a physics problem involving a uniform chain of total mass m, with a length of L = 2.87 m, where one-quarter of the chain hangs off a frictionless table. The objective is to determine the speed of the chain when only one-quarter of its length remains on the table. The solution involves applying the principle of conservation of energy to calculate the speed at the critical moment of release.

PREREQUISITES
  • Understanding of conservation of energy principles in physics
  • Familiarity with kinematic equations
  • Basic knowledge of uniform mass distribution
  • Concept of frictionless surfaces in mechanics
NEXT STEPS
  • Study the application of conservation of energy in dynamic systems
  • Learn about kinematic equations related to falling objects
  • Explore the effects of mass distribution on motion
  • Investigate scenarios involving frictionless surfaces in physics problems
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Students studying physics, particularly those focusing on mechanics and energy conservation, as well as educators seeking to enhance their teaching of these concepts.

marti423
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Homework Statement


A uniform chain of total mass m is laid out straight on a frictionless table and held stationary so that one-quarter of its length, L = 2.87 m, is hanging vertically over the edge of the table. The chain is then released. Determine the speed of the chain at the instant when only one-quarter of its length remains on the table.



Homework Equations





The Attempt at a Solution

 
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welcome to pf!

hi marti423! welcome to pf! :wink:

use conservation of energy …

what do you get? :smile:
 

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