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\Large\centerline{\textbf{Dispersion Relation for Waves on a String}}\normalsize
\medskip

Here is a snapshot of a harmonic wave in a rope.  The snapshot is taken at $t = 0$.  After time $t = T$, it will look the same again. 

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\centerline{\includegraphics[width=5 in]{wvwaveenergyhandfig1.png}}
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Group A: This wave is traveling to the right.  

Group B:  This is a standing wave.

For the various times given,
 
\begin{itemize}
\item where is the KE density maximal and minimal?  Why?
\item where is the PE density maximal and minimal?  Why?
\item what are the maximal and minimal values of the KE density and PE density?
\item plot and animate the kinetic energy density, potential energy density and total energy density.  (We may leave this part to the full-class discussion).
\end{itemize}
\begin{enumerate}
\item	$t = 0$
\item  	$t = T/4$
\item	$t = T/2$
\item  	$t = 3T/4$
\end{enumerate}

Your group will start with one of the 4 times: when you finish, move on to the next time, swapping roles of taskmaster, cynic, \& recorder.  If you finish all the times and the plot for your group, take on the other group's assignment.


\vfill
\leftline{\textit{by Janet Tate}}
\leftline{\copyright DATE Janet Tate}
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