Recent content by DavidCantwell

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    Finding frequency, wavelength, speed from wave equations

    problem misstated I have been away from my physics studies for awhile, but wanted to say thnx to both haruspex and barrj for checking in on this post. The problem in its entirety is quoted verbatim from the Halliday & Resnick Fundamentals text (2nd ed), pr 27, pg 314: Two waves are...
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    Finding frequency, wavelength, speed from wave equations

    Thnx for the response haruspex, but can you be more specific? I think I should explain my reasoning more for the form y_{m} sin [ \frac{π}{2}(\frac{x}{λ} - \frac{t}{T}) + \frac{π}{2} ] occurring. I know how to obtain the frequency, wavelength and speed from a simple harmonic wave of the...
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    Finding frequency, wavelength, speed from wave equations

    Homework Statement Two waves propagate opposite directions along a string one is y_{1} = 0.6 cos[ \frac{π}{2} (\frac{x}{2.0m} - \frac{t}{8.0s}) ] and the other is y_{2} = 0.6 cos[ \frac{π}{2} (\frac{x}{2.0m} + \frac{t}{8.0s}) ] find the frequency \nu, wavelength λ and...
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    Graduate Deriving relativistic mass from Resnick and Halliday equation 3-4a

    Thnx All PeterDonis: Your comment that you don't agree with the given equations caught my attention because it crossed my mind if there was a typo among them. But I have double checked and triple checked the text (first thing I do when I am stumped) and the figure and equations are as they...
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    Graduate Deriving relativistic mass from Resnick and Halliday equation 3-4a

    I am reading Resnick and Halliday's "Basic Concepts in Relativity" (ISBN: 0023993456) and have come to an impass about deriving equation 3-4a \begin{equation}m = \gamma m_0\end{equation} in the text. The authors wrote that the equation can be derived from the following equations...
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    Graduate Deriving the Christoffel symbol formula from the covariant derivative

    Try this: \Gamma^k_{ij} = -\textbf{e}_j \cdot D_i\textbf{e}^k \Gamma^k_{ij} = -D_i\textbf{e}^k \cdot \textbf{e}_j because \textbf{v} \cdot \textbf{u} = \textbf{u} \cdot \textbf{v} \Gamma^k_{ij} \textbf{e}^j = -D_i\textbf{e}^k \cdot \textbf{e}_j \textbf{e}^j \Gamma^k_{ij} \textbf{e}^j =...