What is the resulting frequency of the oscillation?

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Homework Help Overview

The discussion revolves around a mass-spring system where a 0.31-kg mass is suspended from a spring with a spring constant of 13 N/m. The mass is displaced from its equilibrium position and released, prompting questions about the resulting frequency of oscillation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the formula for the period of oscillation and its relation to frequency. There is an attempt to apply the equation T = 2π√(m/k) to find the period and subsequently the frequency. Questions arise regarding the role of displacement in the calculations.

Discussion Status

Some participants are exploring the correct application of the formula for frequency and period, while others are questioning the relevance of displacement in the context of simple harmonic motion. There is an acknowledgment that the period does not depend on amplitude.

Contextual Notes

Participants note that the original poster's understanding of the relationship between mass, spring constant, and displacement may need clarification, particularly in the context of the formulas provided in class.

jimmyboykun
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Homework Statement



A 0.31-kg mass is hanging from a spring with spring constant 13 N/m. Then the mass is displaced from the equilibrium by 3.3 cm and let go.

Homework Equations



for frequencthy the equation would be 1/T


The Attempt at a Solution



to T I would use this equation 2∏sqrtm/k
2∏sqrt0.033m/13N/m= 0.316566651s

1/0.316566651s= 3.158892436Hz
I got this wrong but, this is the only equation for frequency that I was taught in class. What did I do wrong.
 
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jimmyboykun said:
to T I would use this equation 2∏sqrtm/k
2∏sqrt0.033m/13N/m= 0.316566651s
In the equation, 'm' stands for the mass (measured in kg); you put in the displacement (measured in meters). Fix that!
 
ok got it, but what about the displacement? does it not play a role in the equation?
 
jimmyboykun said:
ok got it, but what about the displacement? does it not play a role in the equation?
Not in that equation, which is for the period. The period of oscillation (for SHM) does not depend on amplitude.
 

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