Finding angular frequency of damped oscillation

striker300
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My question is that I am asked to find the angular frequency of a spring-mass system. I am given the damping constant, the mass of the object at the end of the spring, the mass of the spring, and the spring constant. I know that angular frequency equals the square root of the spring constant over the mass at the end of the spring, but I don't understand how to find the angular frequency now that the spring has a mass. My assumption is that I sum up the mass of the spring and the object at the end of the spring.
 
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Ok, I did some research before and found something similar to that, but I wasn't sure if I had to do that.

thanks.
 
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The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?

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