High School Effect of mass on the acceleration of an elastic pendulum?

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SUMMARY

The discussion centers on the effect of mass on the acceleration of an elastic pendulum, specifically how varying masses influence acceleration during simple harmonic motion (SHM). It is established that while mass does not affect acceleration in a simple pendulum, in an elastic pendulum, heavier masses experience less acceleration compared to lighter masses. This is due to the inverse proportionality of acceleration to mass, particularly when considering displacement from equilibrium.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM)
  • Familiarity with elastic pendulum mechanics
  • Knowledge of Newton's second law of motion
  • Basic principles of mass and acceleration relationships
NEXT STEPS
  • Research the mathematical modeling of elastic pendulums
  • Explore the effects of mass on oscillatory motion in different systems
  • Learn about the principles of energy conservation in elastic systems
  • Investigate experimental methods for measuring acceleration in pendulums
USEFUL FOR

Physics students, educators, and researchers interested in dynamics, particularly those studying oscillatory systems and the effects of mass on motion.

greg_2001
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I know that mass does not affect the acceleration in a simple pendulum undergoing SHM, but how does the mass on the spring that makes up the elastic pendulum affect its acceleration? Certainly, there must be a change due to the displacement from equilibrium caused by each differing mass? I am talking about finding the acceleration at a specific time on each trial with different masses and comparing them. How would they compare and why?
 
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Heavier mass experiences less acceleration and lighter mass experiences greater acceleration, because acceleration is inversely proportional to mass.
 

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