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boomdoom
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Homework Statement
In our physics course, we were studying one dimensional waves in a string. There, our teacher stated that the kinetic energy in a small piece of a string is [tex]dK=\frac{1}{2}μdx\frac{\partial y}{\partial t}^2[/tex] were μ is the linear density of the string, so he claimed that [tex]\frac{\text{d}K}{\text{d}x}=\frac{1}{2}μ\frac{\partial y}{\partial t}^2[/tex] which is impossible for me to understand, since K is a function of both x and t.
The Attempt at a Solution
Shouldn't we find the derivative of K=K(x,t) as [tex]\frac{\partial K}{\partial x}=\frac{\partial }{\partial x}(\frac{1}{2}μx)\frac{\partial y}{\partial t}^2+\frac{\partial }{\partial x}(\frac{\partial y}{\partial t}^2)\frac{1}{2}μx[/tex]
What am i missing?
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