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**Problem.**A string fixed at two ends (which are a length L apart) is pulled up at the center to a height of h. Assuming that the tension T remains constant, calculate the energy of the vibrations of the string when it is released. [Hint: What work does it take to strech the string up?]

The work to pull the string is

[tex]\int_0^h \frac{y}{c} \, T \, dy[/tex]

where

[tex]c = \sqrt{y^2 + (L/2)^2}[/tex]

right? And if I were to calculate the energy directly, I would need to know the frequency of vibration and the linear density of the string right?