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Energy of Oscillations

  1. Sep 24, 2009 #1
    1. The problem statement, all variables and given/known data
    A string of length L is clamped at both ends, pulled up a distance h with tension T. What is the energy of the subsequent oscillations after plucking. [Hint, consider the work done against the tension in giving the string its initial deformation]

    2. Relevant equations

    3. The attempt at a solution
    I'm not completly sure if my answer is correct or not, so if anyone can help me check it I would greatly appreciate it. I also just scanned my work because I'm not that great at using the forums latex commands.

    http://img242.imageshack.us/img242/1155/cci24092009800000i.jpg [Broken]
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Sep 24, 2009 #2


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    Homework Helper

    That seems to be correct.

    In order to use the hint, you first need to figure out what is the force required to hold the string at a (small) displacement y (using small angle approximations). Then, the work is the integral of this force from y=0 to y=h. Doing this, you will get the same answer.

    BTW, good job with all those pesky factors of 2. I always screw those up.
  4. Sep 24, 2009 #3
    yeah those factors of 2 tricked me up for a while too. Thanks for the help, its much appreciated.
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