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NAME: _______________________, Sect. #_______

Physics 109 Homework # 2
due Monday, September 24, 2001

  1. Damping time: a guitar string has a frequency of 260 Hz (middle-C) and a damping time of 2 sec.
    1. How many oscillations does the string make before the amplitude has decreased to half of the original value?


    2. if the initial amplitude of the guitar string was 2 mm, how large will be the amplitude after 2 sec? __________ after 4 sec? ___________ after 8 sec?____________


     
  2. In the lecture demo we found that a 2 kg mass oscillating up and down on a spring made 10 oscillations in 5 sec, which corresponds to a frequency of _________ Hz. What would have been the frequency if the 2 kg mass was replaced by a 4 kg mass? (hint: look at the SHO frequency formula and use proportions like we did in lecture).


    What would have been the frequency if the 2 kg mass was replaced by a 1 kg mass?

     
  3. The graph shows the pressure variations from two separate tuning forks.


    Show the superposition of the two oscillations, i.e. the pressure variation when both tuning forks oscillate at the same time.


     
  4. Beats: A tuning fork has a frequency of 440 Hz. What are the possible frequencies of a second tuning fork if, when both forks are sounded together, they produce 4 beats every second?

     
  5. A simple harmonic oscillator has a natural frequency of 200 Hz. The damping time of the oscillator is 40 ms.
    A periodic force is applied to the oscillator.