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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, \begin_inset Formula $\omega=\sqrt{\frac{g}{l}}$ \end_inset . \end_layout \begin_layout Standard \begin_inset Float table placement H wide false sideways false status open \begin_layout Plain Layout \lang english 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\end_inset \begin_inset Text \begin_layout Plain Layout \lang english 0,036154 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \lang english 8,087027 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \lang english 1,28709 \end_layout \end_inset \end_inset \end_layout \begin_layout Plain Layout \align center \begin_inset Caption Standard \begin_layout Plain Layout Izmerjeni in izračunani podatki. Podatek o amplitudi je natančen na milimeter. \end_layout \end_inset \end_layout \end_inset \begin_inset Note Note status open \begin_layout Plain Layout \begin_inset Float figure placement H wide false sideways false status open \begin_layout Plain Layout \align center \begin_inset ERT status open \begin_layout Plain Layout \backslash begin{tikzpicture} \end_layout \begin_layout Plain Layout \backslash begin{axis}[width=0.75 \backslash textwidth, scale only axis, ylabel=$s_0$, domain=0:12, ytick pos=left, samples=2 56, xlabel=$ \backslash omega$, xtick pos=bottom, xmin=0, xmax=12, ymin=0, ymax=.06, \end_layout \begin_layout Plain Layout %grid=both \end_layout \begin_layout Plain Layout , major grid style={dashed,blue}] \end_layout \begin_layout Plain Layout \backslash addplot[only marks] table [x=omega, y=x, col sep=comma] {podatki.csv}; \end_layout \begin_layout Plain Layout \backslash addlegendentry{meritve} \end_layout \begin_layout Plain Layout \backslash addplot[blue] (x, {0.47583543/sqrt(-6.87050654^2-x^2)^2+1.2365817^2*x^2}); \end_layout \begin_layout Plain Layout \backslash addlegendentry{$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