Finding angular frequency of damped oscillation

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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.