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\begin{document}

\title{Problemas sobre el teorema de Varignont}



\author[1]{Erick Ontiveros Escamilla}%
\affil[1]{Instituto Tecnológico Superior Zacatecas Occidente}%


\vspace{-1em}



  
  \date{May 04, 2024}


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\selectlanguage{spanish}
\begin{figure}[H]
\begin{center}
\includegraphics[width=0.70\columnwidth]{figures/u3p01[1]/u3p01[1]}
\caption{{Problema 1
{\label{577715}}%
}}
\end{center}
\end{figure}

\(F1=100i-120j+75k\)~

\(F2=-200i+250j+100k\)~

\(RA=4i+5j+3k\)~

\(RB=4i+5j+3k\)

\par\null

\(F1\ X\ RB\ \)

\(i\ \ \ \ \ \ \ \ \ j\ \ \ \ \ \ \ \ \ k\)

\(4\ \ \ \ \ \ \ \ \ 5\ \ \ \ \ \ \ \ \ 3\)

\(100\ -120\ \ \ 75\)

\par\null

\(i\left(5\left(75\right)-\left(-120\right)\left(3\right)\right)-j\left(\left(4\right)\left(75\right)-\left(100\right)\left(3\right)\right)+k\left(\left(4\right)\left(-120\right)-\left(100\right)\left(5\right)\right)\)

\par\null

\(i\left(375+360\right)-j\left(300-300\right)+k\left(-480-500\right)\) \(=735i-980k\)

\par\null

\(F2\ X\ RA\)

\(\ \ \ \ \ i\ \ \ \ \ \ \ \ \ j\ \ \ \ \ \ \ \ k\)

\(\ \ \ \ \ 4\ \ \ \ \ \ \ \ 5\ \ \ \ \ \ \ \ \ 3\)

\(-200\ \ \ \ 250\ \ \ \ 100\)

\(i\left(\left(5\right)\left(100\right)-\left(250\right)\left(3\right)\right)\)\(\)\(-j\left(\left(4\right)\left(100\right)-\left(-200\right)\left(3\right)\right)+k\left(\left(4\right)\left(250\right)-\left(-200\right)\left(5\right)\right)\)

\par\null

\(i\left(500-750\right)-j\left(400+600\right)+k\left(1000+1000\right)\)

\par\null

\(=-250i-1000j+2000k\)

\par\null

SUMA TOTAL (FT)

\par\null

\(FT=735i-980k-250i-1000j+2000k\)

\(FT=485i-1000j+1020k\)

\(\)\selectlanguage{spanish}
\begin{figure}[H]
\begin{center}
\includegraphics[width=0.70\columnwidth]{figures/u3p02[1]/u3p02[1]}
\caption{{Problema 2
{\label{645303}}%
}}
\end{center}
\end{figure}

\(ry=0\)

\par\null

ry = 3u sin 60\selectlanguage{ngerman}°(6)

Fx = (-3/5)(9)

\par\null

Mo = (rx fy - ry Fx)

\par\null

Mo = 0(30 sin 60°(6)) - 0(-3/5)(9)

\par\null

Mo = 155.88 A + FA S.A

\par\null

FA = 155.88 A/S.A

\par\null

FA = 28.86 Ab

\selectlanguage{spanish}
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\end{document}

