Solve Oscillation Problems: Find Mass m with Frequency Change

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SUMMARY

The discussion focuses on solving an oscillation problem involving a mass-spring system. The initial frequency is 0.83 Hz for mass m, and after adding a 680-g mass, the frequency drops to 0.60 Hz. The calculated mass m is approximately 0.744 kg, derived using the equations w = 2πf and w² = k/m. Participants confirm their calculations and methods, indicating a strong understanding of the relationship between mass and frequency in oscillatory motion.

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  • Understanding of oscillation principles and frequency calculations
  • Familiarity with the equations of motion for mass-spring systems
  • Knowledge of unit conversions, particularly grams to kilograms
  • Basic algebra skills for solving equations
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  • Learn about the impact of mass changes on oscillation frequency
  • Explore the concept of angular frequency and its applications
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Homework Statement



A mass m at the end of a spring oscillates with a frequency of 0.83 Hz. When an additional 680-g mass is added to m, the frequency is 0.60 Hz. What is the value of me?

Homework Equations



w = 2 pi f

w^2 = k / m

The Attempt at a Solution



m = .74725 kg

I'll probably be adding a few more problems, as my textbook didn't come with a solutions manual. I wish it did.
 
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Hmm.. I got 0.744kg.

Did you find w first and then sub it in with a rounded off value?

Or did you find m algebraically and then evaluate?
 
jaseh86 said:
Hmm.. I got 0.744kg.

Did you find w first and then sub it in with a rounded off value?

Or did you find m algebraically and then evaluate?

Our answers are close enough. It looks like I did it correctly.

I found the two "w"s first, expressed the masses in terms of m, setup a ratio and solved for m.
 

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