Finding angular frequency of damped oscillation

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SUMMARY

The discussion centers on calculating the angular frequency of a damped spring-mass system, incorporating both the mass of the object and the mass of the spring itself. The user correctly identifies that the angular frequency can be determined using the formula ω = √(k/m), where k is the spring constant. To accurately compute the angular frequency, the effective mass must be considered, which is the sum of the mass of the object and the mass of the spring. The user references the concept of effective mass as outlined in the Wikipedia article on the topic.

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  • Understanding of spring-mass systems
  • Knowledge of angular frequency and its formula
  • Familiarity with damping constants
  • Concept of effective mass in oscillatory systems
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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.
 

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