Solving Tension in a Chain of 5 Links

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SUMMARY

The discussion focuses on solving a physics problem involving a chain of five links, each with a mass of 0.10 kg, lifted with a constant acceleration of 2.5 m/s². Participants are tasked with determining the forces acting between adjacent links and the force exerted on the top link. Key equations utilized include F=ma for calculating forces and W=mg for weight. The approach emphasizes starting from the bottom link to establish the forces acting upward through the chain.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Knowledge of gravitational force calculation (W=mg)
  • Basic principles of forces in a system of connected objects
  • Ability to analyze forces in a vertical motion context
NEXT STEPS
  • Study the concept of tension in strings and chains in physics
  • Learn how to apply free body diagrams to analyze forces
  • Explore advanced problems involving multiple connected masses
  • Review the principles of acceleration and its effects on force calculations
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This discussion is beneficial for physics students, educators, and anyone interested in understanding dynamics and force interactions in connected systems.

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Homework Statement


A chain consisting of five links, each of mass 0.10 kg, is lifted vertically with a constant acceleration of 2.5m/s^2.
a.) Find the forces acting between adjacent links.
b.) Find the force F exerted in the top link.



Homework Equations


F=ma
W=mg


The Attempt at a Solution


I am just having trouble knowing where to start with this problem. I'm guessing that the top link should be determined last since it is in part b. Any input would be greatly appreciated. Thank You!
 
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Since there is an acceleration, there will be a resultant force.

At the fifth link,
The resultant force = force exerted by fourth link on fifth link - weight of fifth link.

I think you should be able to do now.
 

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