Solving SHM: Max Speed & Accel. for 1.11kg Mass on Spring

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SUMMARY

The discussion focuses on solving a simple harmonic motion (SHM) problem involving a mass of 1.11 kg on a spring with a force of 1.23 N applied. The key equations for maximum speed and maximum acceleration are identified as Max Speed = ωA and Max Acceleration = Aω², where ω is the angular frequency and A is the amplitude. The user successfully resolves their confusion regarding these equations and confirms they have obtained the correct answers after applying the formulas.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM) principles
  • Familiarity with the concepts of mass, force, and acceleration
  • Knowledge of angular frequency (ω) and amplitude (A) in SHM
  • Ability to manipulate and apply mathematical equations in physics
NEXT STEPS
  • Study the derivation and application of SHM equations in various contexts
  • Learn about the relationship between force, mass, and acceleration in mechanics
  • Explore the concept of angular frequency in more complex oscillatory systems
  • Investigate energy conservation in simple harmonic motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators seeking to clarify SHM concepts for their curriculum.

Becca93
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Homework Statement
A mass of 1.11 kg on a spring rests on a frictionless surface and has a horizontal force of magnitude 1.23 N applied to it to keep it 1.3 m from the equilibrium. The mass undergoes simple harmonic motion when released.

What is the maximum speed? What is the maximum magnitude of acceleration? What is the magnitude of acceleration of the mass when it's displacement is one fifth of the maximum value?


The attempt at a solution

From previous questions in the series,
k = 0.946
f = 0.147
ω = (2)(pi)(0.147)

My issue is that I don't know how to go about solving for maximum speed or maximum magnitude of acceleration.

Any advice?
 
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If you check your SHM equations you should find that max speed is when displacement = 0
and max acceleration is when displacement is a maximum (ie at the amplitude)
Max speed = ωA and max acceleration = Aω^2
Hope this gets you into it
 


technician said:
If you check your SHM equations you should find that max speed is when displacement = 0
and max acceleration is when displacement is a maximum (ie at the amplitude)
Max speed = ωA and max acceleration = Aω^2
Hope this gets you into it

I was missing those equations in my notes. I've got the answers now. Thank you very much!
 

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