A question from Rindler Relativity Textbook

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SUMMARY

The discussion centers on a problem from the Rindler 2nd edition textbook regarding the breaking point of an elastic material under constant proper acceleration. The specific problem, 3.24, states that an elastic piece breaks when stretched to twice its length, and it is proven that the breaking occurs at time t=sqrt(3)*c/alpha. The conversation also references the "Bell Spaceship paradox," highlighting the importance of understanding the equations of motion for objects under constant proper acceleration.

PREREQUISITES
  • Understanding of Rindler coordinates and proper acceleration
  • Familiarity with the Bell Spaceship paradox
  • Knowledge of the equations of motion for constant proper acceleration
  • Basic concepts of elasticity in physics
NEXT STEPS
  • Study the equations of motion for objects under constant proper acceleration
  • Research the implications of the Bell Spaceship paradox in relativistic physics
  • Explore the properties of elastic materials under varying stress conditions
  • Examine the mathematical derivation of time dilation effects in accelerated frames
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Students of physics, particularly those studying relativity, as well as educators and researchers interested in the applications of proper acceleration and elasticity in relativistic contexts.

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While solving the problem from Rindler 2nd ed. book, I just stuck on the problem 3.24.

A certain piece of elastic breaks when it is stretched to twice its length. At time t=0, all points of it are accelerated longitudinally with constant proper Acceleration alpha, from rest in the unstretched state. prove that elastic breaks at t=sqrt(3)*c/alpha.

please help. thanks
 
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Ah, the "Bell Spaceship paradox". How far have you gotten? Do you know the equations of motion of an object with constant proper acceleration alpha?
 

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