# Energy of Oscillations

1. Sep 24, 2009

### anubis01

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
E=K+U

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. Sep 24, 2009

### turin

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.

3. Sep 24, 2009

### anubis01

yeah those factors of 2 tricked me up for a while too. Thanks for the help, its much appreciated.