Schwartz Lecture 10 : Energy and Power in Waves 1 Energy in a string
نویسنده
چکیده
The potential energy depends on how stretched the string is. Of course, having a string with some tension T automatically has some potential energy due to the stretching, even if there are no waves passing through the string. We are instead interested in the potential energy stored in the string as it is stretched further, due to the propagation of transverse waves. For simplicity, we use potential energy to refer to only this additional potential energy due to the extra strength. If the string is in equilibrium, so ∂A ∂x = 0, then by definition the potential energy is zero. The amount the string is stretched at point x is given by the difference between the length of the hypotenuse of the triangle and the base. Recall our triangle:
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