3 files changed, 1271 insertions, 3 deletions

diff --git a/fiz/vaje/10/.gitignore b/fiz/vaje/10/.gitignore
index 8c9c1c2..da2a8f9 100644
--- a/fiz/vaje/10/.gitignore
+++ b/fiz/vaje/10/.gitignore
@@ -1,3 +1,4 @@
 *.csv
 p.tsv
 podatki.lyx
+graf.tex
diff --git a/fiz/vaje/10/dokument.lyx b/fiz/vaje/10/dokument.lyx
new file mode 100644
index 0000000..bf0df5c
--- /dev/null
+++ b/fiz/vaje/10/dokument.lyx
@@ -0,0 +1,1251 @@
+#LyX 2.3 created this file. For more info see http://www.lyx.org/
+\lyxformat 544
+\begin_document
+\begin_header
+\save_transient_properties true
+\origin unavailable
+\textclass article
+\begin_preamble
+\usepackage{siunitx}
+\usepackage{pgfplots}
+\usepackage{listings}
+\usepackage{multicol}
+\sisetup{output-decimal-marker = {,}, quotient-mode=fraction, output-exponent-marker=\ensuremath{\mathrm{3}}}
+\end_preamble
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+\use_geometry true
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+\use_package mhchem 1
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+\use_package undertilde 1
+\cite_engine basic
+\cite_engine_type default
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+\index Index
+\shortcut idx
+\color #008000
+\end_index
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+\end_header
+
+\begin_body
+
+\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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+\begin_layout Plain Layout
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+
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+Izmerjeni in izračunani podatki.
+ Podatek o amplitudi je natančen na milimeter.
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+begin{tikzpicture}
+\end_layout
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+
+\backslash
+begin{axis}[width=0.75
+\backslash
+textwidth, scale only axis, ylabel=$s_0$, domain=0:12, ytick pos=left, samples=2
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+\backslash
+addplot[only marks] table [x=omega, y=x, col sep=comma] {podatki.csv};
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addlegendentry{meritve}
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+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
diff --git a/fiz/vaje/10/tab.py b/fiz/vaje/10/tab.py
index c5c24db..2b0bbae 100755
--- a/fiz/vaje/10/tab.py
+++ b/fiz/vaje/10/tab.py
@@ -1,7 +1,11 @@
 #!/usr/bin/python3
 import pandas
-import sys
+from sys import argv, stderr
 from math import pi
+from numpy import sqrt, arange, argmax
+from scipy.optimize import curve_fit
+from matplotlib import pyplot
+from tikzplotlib import get_tikz_code
 l = 23.5
 df = pandas.read_csv("podatki.tsv", sep="\t")
 df.index.name = "idx"
@@ -9,6 +13,18 @@ df["x"] = (df["y"]/13*l)
 df["omega"] = ((9.81/df["l"])**(1/2))
 df["f"] = (df["omega"]*0.5/pi)
 df = df.astype(float).round(6);
-data = df.values
+def objective(x, A, B, C):
+	return A/sqrt((B**2-x**2)**2+C**2*x**2)
+popt, _ = curve_fit(objective, df.values[:, 3], df.values[:, 2])
+print(popt, file=stderr)
+pyplot.scatter(df.values[:, 3], df.values[:, 2])
+iksi = arange(min(df.values[:, 3]), max(df.values[:, 3]), 0.01)
+ipsiloni = objective(iksi, popt[0], popt[1], popt[2])
+print(f"omega nič je {iksi[argmax(ipsiloni)]}, kar je {iksi[argmax(ipsiloni)]/2/pi} Hz", file=stderr)
+pyplot.plot(iksi, ipsiloni, "--", color="red")
+pyplot.xlabel('$s_0 \\left[\\si{\\meter}\\right]$')
+pyplot.ylabel('$\\omega=2\\pi\\nu$')
+pyplot.title("$s_0\\left(\\omega\\right)$")
 if __name__ == "__main__":
-	df.to_csv("/dev/stdout", sep=",");
+	# df.to_csv("/dev/stdout", sep=argv[1][0]);
+	print(get_tikz_code(axis_width="0.75\\textwidth"))