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#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"
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\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 true
\use_package amsmath 1
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\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
\leftmargin 1cm
\topmargin 2cm
\rightmargin 1cm
\bottommargin 2cm
\headheight 1cm
\headsep 1cm
\footskip 1cm
\secnumdepth 3
\tocdepth 3
\paragraph_separation indent
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\tracking_changes false
\output_changes false
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\html_be_strict false
\end_header

\begin_body

\begin_layout Title
Ravnovesje togega telesa
\end_layout

\begin_layout Author

\noun on
Anton Luka Šijanec
\end_layout

\begin_layout Date
3.
 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 
\[
F_{\text{{teoretična}}}=mg\frac{{x_{F_{g}}}}{l}=\SI{0,6992}{\kilo\gram}\cdot\SI{9,81}{\meter\per\second\squared}\cdot\frac{{1}}{2}=\SI{3,429576}{\newton}
\]

\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