Troubleshooting Mass & Spring Dynamics

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SUMMARY

The discussion centers on troubleshooting dynamics involving a mass M and a spring. It clarifies that two distinct scenarios exist: dropping the mass to determine how far it sinks before rebounding, and gently placing the mass at its equilibrium point. The first scenario requires understanding the force equation to find the equilibrium point, while the second scenario necessitates applying energy conservation principles to ascertain the lowest point of the mass's descent. Both approaches yield different insights into the system's behavior.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with Hooke's Law for springs
  • Basic principles of energy conservation
  • Knowledge of equilibrium in mechanical systems
NEXT STEPS
  • Study the application of Hooke's Law in dynamic systems
  • Learn about energy conservation in mechanical oscillations
  • Explore the mathematical modeling of mass-spring systems
  • Investigate the differences between static and dynamic equilibrium
USEFUL FOR

Physics students, mechanical engineers, and anyone involved in studying dynamics and oscillatory motion in mechanical systems.

Arup Biswas
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Please tell me which one is wrong! When I put a mass M on one end of a spring!
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You need to state the problem. Are you dropping the mass and trying to find out how far it sinks down (before coming back up). Or are you gently placing the mass at its new equilibrium point? Two different problems!
 
The 1st one you assumed!
 
Realize that the force equation solution just finds the equilibrium point, which is not the lowest point. To solve for the lowest point, you'll use energy conservation.
 
Last edited:
Thank you very much sir!
 

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