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Rotation of the Reference System

For a rotation of the reference system by an angle $\psi$ about the beam ($s$) axis:

\begin{displaymath} S=\left(\begin{array}{ccc} \cos\psi & -\sin\psi & 0 \\ \sin\psi & \cos\psi & 0 \\ 0 & 0 & 1 \\ \end{array}\right), \end{displaymath}

while for a rotation of the reference system by an angle $\theta$ about the vertical ($y$) axis:

\begin{displaymath} S=\left(\begin{array}{ccc} \cos\theta & 0 & -\sin\theta \\ 0 & 1 & 0 \\ \sin\theta & 0 & \cos\theta \end{array}\right). \end{displaymath}

In both cases the displacement $R$ is zero.

Figure 1.6: Reference System for a Rotation Around the s-Axis
\begin{figure}\begin{center} \setlength {\unitlength}{1pt} \begin{picture}(400,... ...*{2}} \put(220,140){\makebox(0,0){beam}} \end{picture} \end{center}\end{figure}

Figure 1.7: Reference System for a Rotation Around the y-Axis
\begin{figure}\begin{center} \setlength {\unitlength}{1pt} \begin{picture}(400,... ...200}} \put(290,140){\makebox(0,0){beam}} \end{picture} \end{center}\end{figure}


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