Tension in a chain with circular motion

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SUMMARY

The discussion centers on calculating the tension in a chain undergoing circular motion. It is established that the tension remains constant in magnitude along the tangential direction due to the system's symmetry. To determine the tension, one must analyze the forces acting on a differential segment of the chain, considering its mass and acceleration. This approach leads to a clearer understanding of the dynamics involved in circular motion.

PREREQUISITES
  • Understanding of circular motion dynamics
  • Knowledge of tension in physical systems
  • Familiarity with differential calculus
  • Basic principles of forces and mass
NEXT STEPS
  • Study the principles of circular motion in physics
  • Learn how to apply Newton's second law to systems in motion
  • Explore differential equations in the context of physical systems
  • Investigate the role of tension in various mechanical systems
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Physics students, educators, and anyone interested in understanding the mechanics of tension in circular motion systems.

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Homework Statement



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upload_2017-7-20_20-46-32.png

Homework Equations

The Attempt at a Solution



What I know is tension is same in magnitude at all points of the chain along tangential direction due to the symmetry of the system.
But how to find it out?[/B]
 

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Consider all the forces acting on a small piece of the chain, which subtends a differential angle.
(What is the mass, acceleration, and acting forces on this piece?)
 

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