HELP PLESE Simple Harmonic Motion

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SUMMARY

The discussion focuses on solving a problem related to simple harmonic motion (SHM) involving a mass on a spring with amplitude A. The key equations utilized include the angular frequency ω, calculated as ω = 2π/3, leading to a period T of approximately 3.01 seconds. Participants are encouraged to derive the displacement and distance traveled by the mass over three complete periods of motion. The discussion highlights the importance of understanding SHM equations for accurate problem-solving.

PREREQUISITES
  • Understanding of simple harmonic motion principles
  • Familiarity with the equations of motion for oscillatory systems
  • Knowledge of angular frequency and its relation to period
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of displacement in simple harmonic motion
  • Learn how to calculate the total distance traveled in oscillatory motion
  • Explore the effects of varying amplitude on SHM characteristics
  • Investigate real-world applications of simple harmonic motion in engineering
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators looking for examples of simple harmonic motion problems.

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Homework Statement



A mass on a spring undergoes simple harmonic motion with amplitude A.
a) In a time equal to three periods, what is the magnitude of the displacement of the mass?
b) In a time equal to three periods, what actual distance did it travel?

Homework Equations





The Attempt at a Solution

 
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and your attempt is where?

Start with the equation for simple harmonic motion.
 
So for a time equal to 3 periods...[tex]\omega[/tex]=2[tex]\pi[/tex]/3=2.09

so T=2[tex]\pi[/tex]/2.09=3.01s


Please help I'm so lost :(
 
Last edited:

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