Finding period of balls attached with spring

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SUMMARY

The discussion focuses on calculating the period of two balls attached to a spring using the relevant equations T=2π√(L/g) for pendulum motion and T=2π√(m/k) for spring oscillation. The context of each equation is crucial; the first applies to a pendulum-like system, while the second is specific to mass-spring systems. Understanding the symmetry in the system is essential for determining which formula to apply effectively.

PREREQUISITES
  • Understanding of harmonic motion principles
  • Familiarity with the concepts of mass (m), spring constant (k), and gravitational acceleration (g)
  • Knowledge of the relationship between period (T), length (L), and restoring forces
  • Basic grasp of oscillatory systems and their equations
NEXT STEPS
  • Study the derivation of the formulas T=2π√(L/g) and T=2π√(m/k)
  • Explore the concept of symmetry in mechanical systems
  • Investigate the effects of varying mass and spring constant on oscillation periods
  • Learn about coupled oscillators and their behavior in spring systems
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding oscillatory motion and spring dynamics.

atim
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Homework Statement
If there are 2 balls attached with a spring, how to calculate period?
Relevant Equations
T=2pi*root(L/g) , T=2pi*root(m/k)
Which formula do I have to use? and why?
 
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atim said:
Problem Statement: If there are 2 balls attached with a spring, how to calculate period?
Relevant Equations: T=2pi*root(L/g) , T=2pi*root(m/k)

Which formula do I have to use? and why?
It is of no help to know a formula if you do not also know the context in which it applies.
Can you specify the contexts for your relevant equations? If the two balls on a spring system does not fit those, can you see how some part of the system does? Hint: symmetry.
 

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