Simple harmonic motion and frequency

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Homework Help Overview

The discussion revolves around a simple harmonic oscillator consisting of a mass on a frictionless surface attached to a massless spring. Participants are evaluating the truth of various statements regarding the effects of mass, spring constant, and amplitude on frequency and period.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to determine the validity of statements related to frequency changes due to modifications in mass and amplitude. Questions about the relationship between amplitude and frequency are raised, with some participants expressing confusion over their answers.

Discussion Status

There is an ongoing exploration of the relationships between the parameters of the harmonic oscillator. Some participants have provided answers to the true/false statements but express uncertainty about their correctness. Guidance has been offered to check the statements related to amplitude.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may impose specific rules or assumptions that are not fully articulated in the discussion.

ttk3
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Homework Statement


Consider a simple harmonic oscillator made of a mass sliding on a frictionless surface, and attached to a massless linear spring. Which of the following statements are true/false?
True False Quadrupling the mass will halve the frequency.
True False Doubling the spring constant will double the frequency.
True False Tripling the amplitude will sextuple the frequency.
True False Doubling the amplitude will not change the period.
True False Doubling the amplitude will halve the frequency.



Homework Equations



f = (1/ [2pi/sqrt(k/m)])

Vmax = A(2pi/T)

Vmax = A(2pif)

The Attempt at a Solution



using simple numbers I got the answers in this order

True
False
False
False
True

My numbers work out, but I'm wrong...
Any suggestions?
Thanks
 
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ttk3 said:
f = (1/ [2pi/sqrt(k/m)])
Does frequency depend on amplitude?
 
Ok... So doubling the amplitude doesn't effect the frequency, but I still can't get this question right...

I'm so confused
 
Three of those questions refer to amplitude. Check each one.
 

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