From 1463cfc15acfffd2dffa6868927a5563cc0eabea Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Anton=20Luka=20=C5=A0ijanec?= <anton@sijanec.eu>
Date: Sun, 2 Oct 2022 23:01:30 +0200
Subject: slo, fiz

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 fiz/vaje/1/dokument.lyx | 816 ++++++++++++++++++++++++++++++++++++++++++++++++
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 create mode 100644 fiz/vaje/1/dokument.lyx

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diff --git a/fiz/vaje/1/dokument.lyx b/fiz/vaje/1/dokument.lyx
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@@ -0,0 +1,816 @@
+#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}
+\sisetup{output-decimal-marker = {,}, quotient-mode=fraction, output-exponent-marker=\ensuremath{\mathrm{3}}}
+\end_preamble
+\use_default_options true
+\maintain_unincluded_children false
+\language slovene
+\language_package default
+\inputencoding auto
+\fontencoding global
+\font_roman "default" "default"
+\font_sans "default" "default"
+\font_typewriter "default" "default"
+\font_math "auto" "auto"
+\font_default_family default
+\use_non_tex_fonts false
+\font_sc false
+\font_osf false
+\font_sf_scale 100 100
+\font_tt_scale 100 100
+\use_microtype false
+\use_dash_ligatures true
+\graphics default
+\default_output_format default
+\output_sync 0
+\bibtex_command default
+\index_command default
+\paperfontsize default
+\spacing single
+\use_hyperref false
+\papersize default
+\use_geometry false
+\use_package amsmath 1
+\use_package amssymb 1
+\use_package cancel 1
+\use_package esint 1
+\use_package mathdots 1
+\use_package mathtools 1
+\use_package mhchem 1
+\use_package stackrel 1
+\use_package stmaryrd 1
+\use_package undertilde 1
+\cite_engine basic
+\cite_engine_type default
+\biblio_style plain
+\use_bibtopic false
+\use_indices false
+\paperorientation portrait
+\suppress_date false
+\justification true
+\use_refstyle 1
+\use_minted 0
+\index Index
+\shortcut idx
+\color #008000
+\end_index
+\secnumdepth 3
+\tocdepth 3
+\paragraph_separation indent
+\paragraph_indentation default
+\is_math_indent 0
+\math_numbering_side default
+\quotes_style german
+\dynamic_quotes 0
+\papercolumns 1
+\papersides 1
+\paperpagestyle default
+\tracking_changes false
+\output_changes false
+\html_math_output 0
+\html_css_as_file 0
+\html_be_strict false
+\end_header
+
+\begin_body
+
+\begin_layout Title
+Ravnovesje togega telesa
+\end_layout
+
+\begin_layout Author
+Anton Luka Šijanec
+\end_layout
+
+\begin_layout Date
+2.
+ oktober 2022
+\end_layout
+
+\begin_layout Abstract
+Poročilo prve vaje pri predmetu 
+\noun on
+F41
+\noun default
+ na Gimnaziji Bežigrad v 4.
+ letniku.
+ Vaja je potekala 15.
+ septembra 2022.
+\end_layout
+
+\begin_layout Standard
+\begin_inset CommandInset toc
+LatexCommand tableofcontents
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Section
+Uvod
+\end_layout
+
+\begin_layout Standard
+Za ravnovesje togega telesa morata biti izpolnjena dva pogoja:
+\end_layout
+
+\begin_layout Enumerate
+vsota vseh zunanjih sil mora biti nič in
+\end_layout
+
+\begin_layout Enumerate
+vsota navorov zunanjih sil mora biti nič.
+\end_layout
+
+\begin_layout Section
+Naloga
+\end_layout
+
+\begin_layout Standard
+Opazuj ravnovesje lesene palice v različnih legah!
+\end_layout
+
+\begin_layout Section
+Potrebščine
+\end_layout
+
+\begin_layout Itemize
+palica
+\end_layout
+
+\begin_layout Itemize
+silomer (2)
+\end_layout
+
+\begin_layout Itemize
+meter
+\end_layout
+
+\begin_layout Itemize
+geotrikotnik
+\end_layout
+
+\begin_layout Section
+Potek dela
+\end_layout
+
+\begin_layout Subsection
+Vleka palice do premika
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Vleka-palice-do-premika"
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Palico na levi strani pridrži tako, da se lahko vrti okrog krajišča.
+ Na desnem krajišču jo vleci s silomerom pravokotno na palico tako, da se
+ ravno še dotika tal (se še ne dviguje).
+ Izmeri silo ter rezultat meritve preveri še računsko! Manjkajoče količine
+ za izračun izmeri.
+ Izračunaj silo v osi!
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula 
+\[
+F_{\text{{izmerjena}}}=\SI{3,4}{\newton}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula 
+\[
+l=\SI{0,6}{\meter}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula 
+\[
+m=\SI{0,6992}{\kilo\gram}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula 
+\[
+x_{F_{g}}=\frac{{l}}{2}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula 
+\[
+F_{\text{{teoretična}}}=mg\frac{{x_{F_{g}}}}{l}=\SI{0,6992}{\kilo\gram}\cdot\SI{9,81}{\kilo\gram\meter\per\second\squared}\cdot\frac{{1}}{2}=\SI{3,429576}{\newton}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula 
+\[
+F_{\text{{os}}}=F_{\text{{teoretična}}}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Subsection
+Vleka silomera vedno navpično
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Vleka-silomera-vedno-navpično"
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Palico dviguj okoli osi tako, da vlečeš silomer še vedno navpično navzgor.
+ Silo, s katero vlečeš, izmeri ter jo izračunaj pri kotih 
+\begin_inset Formula $\ang{30}$
+\end_inset
+
+ in 
+\begin_inset Formula $\ang{45}$
+\end_inset
+
+.
+ Kolikšna je v teh primerih sila v osi? Primerjaj rezultate za različne
+ lege palice in jih komentiraj.
+\end_layout
+
+\begin_layout Standard
+\begin_inset Float table
+placement h
+wide false
+sideways false
+status open
+
+\begin_layout Plain Layout
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="3" columns="2">
+<features tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+kot 
+\begin_inset Formula $\left[^{\circ}\right]$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+sila 
+\begin_inset Formula $\left[\si{\newton}\right]$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+30
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+3,5
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+45
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+3,4
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+\begin_inset Caption Standard
+
+\begin_layout Plain Layout
+Izmerjene količine pri različnih kotih pri nalogi 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Vleka-silomera-vedno-navpično"
+plural "false"
+caps "false"
+noprefix "false"
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Paragraph
+Rešitev
+\end_layout
+
+\begin_layout Standard
+Sila je ne glede na kot enaka in sledi predpisu 
+\begin_inset Formula $F=\frac{{1}}{2}F_{g}$
+\end_inset
+
+, torej je teoretična sila enaka kot pri nalogi 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Vleka-palice-do-premika"
+plural "false"
+caps "false"
+noprefix "false"
+
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Subsection
+Vleka pravokotno na palico
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Vleka-pravokotno-na-palico"
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Palico dviguj okrog osi tako, da je silomer ves čas pravokoten na palico.
+ Izmeri silo pri kotih 
+\begin_inset Formula $\ang{30}$
+\end_inset
+
+in 
+\begin_inset Formula $\ang{60}.$
+\end_inset
+
+ Silo tudi izračunaj!
+\end_layout
+
+\begin_layout Standard
+\begin_inset Float table
+placement h
+wide false
+sideways false
+status open
+
+\begin_layout Plain Layout
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="3" columns="2">
+<features tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+kot 
+\begin_inset Formula $\left[^{\circ}\right]$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+sila 
+\begin_inset Formula $\left[\si{\newton}\right]$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+30
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+3,1
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+60
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+1,8
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+\begin_inset Caption Standard
+
+\begin_layout Plain Layout
+Izmerjene količine pri različnih kotih pri nalogi 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Vleka-pravokotno-na-palico"
+plural "false"
+caps "false"
+noprefix "false"
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula 
+\[
+F_{\ang{30}}=\cos\ang{30}\cdot F_{g}\cdot\frac{{1}}{2}=\cos\ang{30}\cdot\SI{6,859152}{\newton}\cdot\frac{{1}}{2}=\SI{2,97009994021}{\newton}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula 
+\[
+F_{\ang{60}}=cos\ang{60}\cdot F_{g}\cdot\frac{{1}}{2}=\SI{1,714788}{\newton}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Subsection
+Vleka do premika z vpenjanjem na drugih mestih
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Vleka-do-premika-z-vpenjanjem-na-drugih-mestih"
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Vpni silomer za kaveljček ter izmeri in izračnuaj silo, s katero vlečeš
+ silomer pravokotno na palico, ta pa se ravno še ne dvigne.
+ Meritve ponovi tudi pri drugem kaveljčku.
+\end_layout
+
+\begin_layout Standard
+\begin_inset Float table
+placement h
+wide false
+sideways false
+status open
+
+\begin_layout Plain Layout
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="3" columns="2">
+<features tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+razdalja med osjo in kaveljčkom 
+\begin_inset Formula $\left[\si{\meter}\right]$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+sila 
+\begin_inset Formula $\left[\si{\newton}\right]$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,405
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+5,1
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,455
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+4,5
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+\begin_inset Caption Standard
+
+\begin_layout Plain Layout
+Izmerjene količine na različnih kaveljčkih pri nalogi 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Vleka-do-premika-z-vpenjanjem-na-drugih-mestih"
+plural "false"
+caps "false"
+noprefix "false"
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula 
+\[
+F_{g}x_{F_{g}}=F_{1}x_{1}\rightarrow F_{1}=\frac{F_{g}x_{F_{g}}}{x_{1}}=\SI{5,080853}{\newton}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula 
+\[
+F_{2}=\frac{{F_{g}x_{F_{g}}}}{x_{2}}=\SI{4,5225178022}{\newton}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Subsection
+Vleka do premika pod kotom
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Vleka-do-premika-pod-kotom"
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Silomer iz primera 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Vleka-do-premika-z-vpenjanjem-na-drugih-mestih"
+plural "false"
+caps "false"
+noprefix "false"
+
+\end_inset
+
+ vleci pod kotom 
+\begin_inset Formula $\ang{30}$
+\end_inset
+
+glede na palico tako, da se ta ravno še ne dvigne.
+ Izmeri silo ter jo tudi izračunaj!
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula 
+\[
+F_{\text{{izmerjena}}}=\SI{1}{\newton}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula 
+\[
+F=\frac{F_{y}}{\sin\ang{30}}\wedge F_{y}l=F_{g}x_{F_{g}}\rightarrow F=\frac{{F_{g}x_{F_{g}}}}{\sin\ang{30}l}=F_{g}=\SI{6,859152}{\newton}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Meritev je bila očitno narobe izvedena, saj se 
+\begin_inset Formula $F_{\text{{izmerjena}}}$
+\end_inset
+
+občutno razlikuje od 
+\begin_inset Formula $F_{\text{{teoretična}}}$
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Section
+Zaključek
+\end_layout
+
+\begin_layout Standard
+Razen meritve 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Vleka-do-premika-pod-kotom"
+plural "false"
+caps "false"
+noprefix "false"
+
+\end_inset
+
+ vse izmerjene sile glede na primerjavo s teoretično napovedjo odstopajo
+ malo — natančne so vsaj na dve decimalni mesti.
+\end_layout
+
+\end_body
+\end_document
-- 
cgit v1.2.3