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+#LyX 2.3 created this file. For more info see http://www.lyx.org/
+\lyxformat 544
+\begin_document
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+\begin_body
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+\begin_layout Title
+Vsiljeno nihanje in resonanca
+\end_layout
+
+\begin_layout Author
+
+\noun on
+Anton Luka Šijanec
+\end_layout
+
+\begin_layout Date
+29.
+ marec 2023
+\end_layout
+
+\begin_layout Abstract
+Grafi in rezultati desete in zadnje vaje pri predmetu 
+\noun on
+F41
+\noun default
+ na Gimnaziji Bežigrad v 4.
+ letniku.
+\end_layout
+
+\begin_layout Section*
+Podatki in grafi
+\end_layout
+
+\begin_layout Standard
+Teoretični model 
+\begin_inset Formula $s_{0}\left(\nu\right)$
+\end_inset
+
+ harmoničnega nihala s tremi parametri je
+\begin_inset Formula 
+\[
+s_{0}=\frac{A}{\sqrt{\left(B^{2}-\omega^{2}\right)^{2}+C^{2}\omega^{2}}}\text{{,}}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+kjer je 
+\begin_inset Formula $\omega=2\pi v$
+\end_inset
+
+ oziroma, če jo izračunamo iz podatkov matematičnega nihala, 
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+addplot[blue] (x, {0.47583543/sqrt(-6.87050654^2-x^2)^2+1.2365817^2*x^2});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addlegendentry{$A=0.47583543$, $B=-6.87050654$, $C=1.2365817$}
+\end_layout
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\begin_layout Plain Layout
+
+% 
+\backslash
+addplot[mark=square*, blue, only marks] table [x=u, y=i, col sep=comma]
+ {2.csv};
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+addlegendentry{zaporedno}
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+addplot[blue] (x, {x*1.1889});
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+addlegendentry{}
+\end_layout
+
+\begin_layout Plain Layout
+
+% 
+\backslash
+addplot[mark=diamond*, green, only marks] table [x=u, y=i, col sep=comma]
+ {3.csv};
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+addlegendentry{vzporedno}
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+addplot[blue] (x, {x*5.38536});
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+addlegendentry{}
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{axis}
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+begin{axis}[width=0.75
+\backslash
+textwidth, scale only axis, ylabel=$b^{-1}$, ytick pos=right, samples=256,
+ xlabel=$a^{-1}$, xtick pos=top, %grid=both
+\end_layout
+
+\begin_layout Plain Layout
+
+%, xlabel near ticks, ylabel near ticks, major grid style={dashed,red},
+\end_layout
+
+\begin_layout Plain Layout
+
+%legend style={at={(0.975,0.325)}, anchor=south east}, domain=4:7, xmin=4,
+ xmax=6.6, ymin=13, ymax=15.6
+\end_layout
+
+\begin_layout Plain Layout
+
+%]
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+addplot[mark=triangle*, red, only marks] table [x=1/a, y=1/b, col sep=comma]
+ {podatki.csv};
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+addlegendentry{meritve}
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+addplot[red] (x, {1/0.0511438-x});
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+addlegendentry{$b^{-1}=f^{-1}-a^{-1}$}
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+end{axis}
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{tikzpicture}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+\begin_inset Caption Standard
+
+\begin_layout Plain Layout
+\begin_inset CommandInset label
+LatexCommand label
+name "fig:graf-1"
+
+\end_inset
+
+
+\begin_inset Formula $s_{0}\left(\omega\right)$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset CommandInset include
+LatexCommand input
+filename "graf.tex"
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Iz grafa za harmonično nihanje razberemo 6,819 kot 
+\begin_inset Formula $\omega_{0}$
+\end_inset
+
+, kar pomeni, da je resonančna frekvenca matematičnega nihala 
+\begin_inset Formula $\SI{1,085}{\per\second}$
+\end_inset
+
+.
+\end_layout
+
+\end_body
+\end_document