Effect of m, A, k, & Phase Lag on w in Spring Mass System

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SUMMARY

The discussion focuses on the effects of mass (m), amplitude (A), spring stiffness (k), and phase lag on the angular frequency (w) in a spring mass system. The formula w = sqrt(k/m) establishes that increasing mass (m) reduces angular frequency (w), while increasing spring stiffness (k) increases it. Amplitude (A) and phase lag do not affect the angular frequency directly. Participants confirmed the clarity of these relationships, indicating a solid understanding of the mechanics involved.

PREREQUISITES
  • Understanding of basic mechanics and oscillatory motion
  • Familiarity with the formula w = sqrt(k/m)
  • Knowledge of spring constants and their role in oscillations
  • Concept of phase lag in mechanical systems
NEXT STEPS
  • Research the impact of damping on angular frequency in spring mass systems
  • Explore the relationship between amplitude and energy in oscillatory motion
  • Study the effects of phase lag on system stability and response
  • Investigate advanced topics in harmonic motion and resonance
USEFUL FOR

Physics students, mechanical engineers, and anyone studying dynamics and oscillatory systems will benefit from this discussion.

kevfar
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1. For a given spring mass system, what would be effect on w if: a) incease size of mss, B) inceasing amplitude of vibration, C) increasing spring stiffness, D) increase phase lag



2. w= sqrt (k/m)



3. Therefore using above w = sqrt (k/m)
a. Reduces
b. no change
c. Increases
d. No change

Any coments please
 
Physics news on Phys.org
Looks good.
 
Doc Al said:
Looks good.

Appreciated
 

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