Finding the max. extension in the spring

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SUMMARY

The discussion focuses on calculating the maximum extension of a spring connected to two blocks of mass m and M, with mass M being pulled by a force F on a frictionless surface. The conventional solution involves using the center of mass (COM) reference frame and applying pseudo forces, which the original poster finds tedious. The poster seeks a simpler method to derive the maximum extension, emphasizing the need for a more intuitive approach to the problem.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concept of center of mass (COM)
  • Basic knowledge of spring mechanics and Hooke's Law
  • Ability to apply pseudo forces in non-inertial frames
NEXT STEPS
  • Research alternative methods for calculating spring extension using energy conservation principles
  • Explore the implications of using different reference frames in mechanics problems
  • Learn about the dynamics of systems involving multiple masses and springs
  • Investigate practical applications of spring mechanics in engineering contexts
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in simplifying complex spring-mass system problems.

exuberant.me
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finding the max. extension in the spring...!

Okkay so i have to calculate the max. extension in a spring attached with two blocks of mass m and M. The box of mass M is pulled with a force F. The system (blocks of masses m1 and m2 and the mass less spring) is placed on a smooth surface.

Actually the soln. given is quite boring.. they have used the reference frame of the system.. taking the COM (center of mass) of the system as the origin and the acceleration of COM is taken and all that... and most importantly psudo force is applied...

now what i want is.. a good and easy soln. to it... if someone could help... !
 
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What was the result of the boring solution? Useful for comparing with an alternate solution.
 

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