Find Spring Constant/ m, and Friction known

AI Thread Summary
To find the spring constant given a mass of 2 kg and a natural frequency of 5 Hz, the relationship between angular frequency, spring constant, and mass is used. The formula ω = √(k/m) = 2πf allows for calculating the spring constant without guessing. By squaring the angular frequency and multiplying by the mass, the spring constant can be determined accurately. The final calculation yields a spring constant of 1,974 N/m. This method provides a systematic approach to solving for the spring constant.
Jerm2006
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Homework Statement



The question ask for the spring constant if the mass is 2 kg and the Natural Friction is 5 Hz.

Homework Equations





The Attempt at a Solution


I have tried many different things but nothing other than putting in random spring constants into the 1/2pi*sqrt of (k/m). This came out to 1,974 N/m. I need a formula to get this awnser without guessing though.
 
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The angular frequency can be related to the spring constant and the mass and the frequency with the equation:

\omega = \sqrt{\frac{k}{m}} = 2\pi f
 
Thanks man, I figured it out, take that then ^2 it, then multiply by 2 and I got my awnser.
 

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