Evergy of Simple harmonic motion

AI Thread Summary
The discussion revolves around calculating the force constant of a spring in a simple harmonic motion scenario involving a 0.155 kg mass and a period of 0.63 seconds. The total energy of the system is given as 1.9 J, and the relevant equation for energy is E = 1/2(kA^2). Participants discuss the relationship between angular frequency (ω), spring constant (k), and mass (m), noting that ω can be derived from the period. Ultimately, the force constant is calculated to be 1.54 N/m. This highlights the connection between period, mass, and spring constant in simple harmonic motion.
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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