Solving Oscillation Question: Mass, Spring Constant & Frequency

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SUMMARY

The discussion centers on solving a physics problem involving a mass-spring system, where the initial frequency is 1.2 Hz and changes to 0.9 Hz upon adding 50g. The relevant formula is T = 2π/ω = 2π√(m/k), where T is the period, m is the mass, and k is the spring constant. Participants emphasize the importance of understanding the variables and suggest inverting the expression for further insights. The conversation encourages a proactive approach to problem-solving by referencing educational resources.

PREREQUISITES
  • Understanding of simple harmonic motion
  • Familiarity with the formula T = 2π√(m/k)
  • Basic knowledge of mass and spring constant relationships
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Review the concept of simple harmonic motion in physics
  • Learn how to derive the spring constant from frequency changes
  • Explore examples of mass-spring systems in textbooks
  • Practice solving similar oscillation problems using T = 2π√(m/k)
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators seeking to guide learners through problem-solving techniques in mass-spring systems.

gr3g1
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I have no idea how to approach this question... Here it is:

With a block of mass m, the frequency of a block-spring system is 1.2Hz. When 50g is added, the frequency changes to: 0.9Hz Whats the mass and spring constant?

I know i have to use: T = 2pi/w = 2pi sqrt(m/k)


Thanks a lot in advanced!
 
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You need to give this a try before we can help.. You probably want to reread this https://www.physicsforums.com/showthread.php?t=94379 to learn what is expected of a homework questioner.
To get you started, try and determine what the variables in your equation refer to..

[tex] \tau = \frac{2\pi}{\omega} = 2\pi \sqrt{\frac{m}{k}}[/tex]

hint: you would do well to invert your expression (see ref for simple harmonic motion)
 
Last edited:
With your given information and using examples in your textbook, take an educated guess on how you might solve this. Once we see that you are trying, we can proceed to steer you in a successful direction.
 

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