Evergy of Simple harmonic motion

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Homework Help Overview

The problem involves a mass-spring system undergoing simple harmonic motion, where the mass is 0.155 kg, the period is 0.63 s, and the total energy is 1.9 J. The objective is to find the force constant of the spring.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to relate the period of the motion to the amplitude and the spring constant, expressing uncertainty about how to derive the amplitude from the given period. Another participant questions the original poster's familiarity with the relationship between angular frequency, spring constant, and mass.

Discussion Status

The discussion includes attempts to clarify the relationship between the variables involved in the problem. Some participants are exploring the mathematical relationships, while others are seeking to confirm their understanding of the concepts. There is no explicit consensus on the approach yet, but some guidance has been provided regarding the relationships between angular frequency, spring constant, and mass.

Contextual Notes

The original poster expresses a feeling of missing information necessary to solve the problem, indicating a potential gap in understanding how to connect the period to the amplitude and subsequently to the spring constant.

Jake4
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Homework Statement



A 0.155 kg mass is attached to a spring and
executes simple harmonic motion with a pe-
riod of 0.63 s. The total energy of the system
is 1.9 J.
Find the force constant of the spring.


Homework Equations


E=1/2(kA^2)



The Attempt at a Solution



We went over in class, how to find the spring constants and such when given the amplitude. However I can't figure out how to work this one out. I think I'm missing a piece. I'm assuming there's a way to find A from the period?

any help would be wonderful, thank you guys!
 
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do you know the relation between \omega, k and m ?
 
I do not.. >.<
 
Jake4 said:

Homework Statement



A 0.155 kg mass is attached to a spring and
executes simple harmonic motion with a pe-
riod of 0.63 s. The total energy of the system
is 1.9 J.
Find the force constant of the spring.


Homework Equations


E=1/2(kA^2)



The Attempt at a Solution



We went over in class, how to find the spring constants and such when given the amplitude. However I can't figure out how to work this one out. I think I'm missing a piece. I'm assuming there's a way to find A from the period?

any help would be wonderful, thank you guys!

we know that w = 2 pi / T
w = 9.97

and we also know,

w squared = k/m

hence solving for k you get k = 1.54 N/m
 

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