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Chemistry LibreTexts

Extra Credit 9

  • Page ID
    195782
  • Solve (i.e., write reasonable step-by-step tutorials for the solutions) of these exercises from the text)

    5.1.4

    Solution:

    With the equation for angular frequency: ω=sqrt(k/m) ,one can see that if the force constant, k,  increases, the frequency would increase since k is in the numerator. If the mass, m, increases, the frequency would decrease since m is in the denominator. 

    If the force constant is increased 9-fold and the mass is increased by 4-fold, the frequency would increase by 2/3. This is shown by: 

     ω=sqrt(9k/4m)= (2/3)(k/m)

    8.6.4

     

    5.1.5

    What happens to the frequency of the oscillation as the vibration is excited with more and more energy? What happens to the maximum amplitude of the vibration as it is excited with more and more energy?

     

    The maximum amplitude of vibration is equal to the total 

     

    Answer (i.e., write the answer to these problems, but no need to show work. You can if you prefer)

    5.1.5

     

    6.2.8

     

    8.6.9