Conceptual question on Simple Harmonic Motion.

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SUMMARY

The equilibrium position of a spring-mass system undergoing Simple Harmonic Motion (SHM) remains at zero, regardless of changes in the mass of the attached ball. Doubling the mass does not affect the equilibrium position, which is defined as the point where the net force is zero. However, the amplitude of oscillation may increase with mass, influencing other characteristics of the SHM, such as the period of oscillation. This conclusion is based on the principles of classical mechanics governing spring systems.

PREREQUISITES
  • Understanding of Hooke's Law and spring constants
  • Basic principles of Simple Harmonic Motion (SHM)
  • Knowledge of mass-spring systems and equilibrium positions
  • Familiarity with oscillation characteristics such as amplitude and period
NEXT STEPS
  • Study the effects of mass on the period of oscillation in SHM
  • Explore the mathematical derivation of SHM equations
  • Investigate energy conservation in spring-mass systems
  • Learn about damping effects on oscillations in SHM
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Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators seeking to clarify concepts of Simple Harmonic Motion.

JustinLiang
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Homework Statement


Given that a spring with a ball of mass m attached to it is oscillating in between x=A and x=-A where x=0 is the equilibrium position. Will the equilibrium position change when the the mass of the ball is doubled?

2. The attempt at a solution
I think that the equilibrium position will stay at zero and the amplitude will increases. Not sure though.
 
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You are right, the equilibrium position does not change with mass if the spring is horizontal. But some characteristics of an SHM depends on the mass. What is it?

ehild
 

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