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\begin{document}

\title{TV\_Grupo8\_Clase4}



\author[1]{Florencia Delgado Rizzi}%
\author[1]{Iara Santa Cruz}%
\author[2]{Víctor A. Bettachini}%
\author[1]{Manuel Dichio}%
\author[1]{Federico }%
\affil[1]{Labo F I ByG | Verano 18}%
\affil[2]{DF, FCEyN, UBA}%


\vspace{-1em}



  
  \date{May 04, 2024}


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\sloppy


\selectlanguage{ngerman}\section*{Materiales y métodos}

{\label{279665}}

Se utilizó un resorte de constante elástica desconocida, un dinamómetro
(Vernier) calibrado en 10 N para el rango de nuestras mediciones, y se
colocaron distintas pesas de distintas masas conocidas.

\par\null\par\null

\section*{Resultados}

{\label{279665}}\par\null

\subsection*{Método estático:}

{\label{218454}}

Los datos siguen una función lineal de ecuación:

\(Y=mX+b\)

\(b=\left(0.040\ \pm\ 0.046\right)N\)

\par\null

\(m=\left(29.875\pm0.007\right)\ \frac{N}{m}\) ~

(Este dato puede relacionarse con la constante elástica del
resorte~\(k\))

Los valores obtenidos se ajustan a la ley de Hooke:

\(F=k\Delta L\) (tomando el módulo de \(\Delta L\))

\par\null\selectlanguage{english}
\begin{figure}[h!]
\begin{center}
\includegraphics[width=1.00\columnwidth]{figures/NvsL/NvsL}
\caption{\selectlanguage{ngerman}{Fuerza medida vs deformación del resorte.
{\label{725845}}%
}}
\end{center}
\end{figure}\selectlanguage{ngerman}

\subsection*{Método dinámico 1:}

{\label{583676}}\par\null

Con la k calculada por el método estático:

\(\omega=\sqrt{\frac{k}{m}}=\left(17.2872\ \pm\right)\)

Al corregir el valor de la masa con la masa del resorte (m=mp+ms+mr/3)

\par\null

\(\omega=\frac{2\pi}{T}=\left(14.7954\ \pm\right)\)\(\omega=\frac{2\pi}{T}=\left(14.6607\ \pm\right)\)

\par\null

Ecuación del movimiento estudiado:

\par\null

\(X\left(t\right)=A\cdot sen\left(\omega t\ +\ \phi\right)\ +\ X_0\)

\par\null\par\null\selectlanguage{english}
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{\label{370374}}%
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\end{figure}

\(oao=1.68500988\)

\(pendiente=-0.49887769\)

\(k=29.0791\frac{N}{m}\)

\par\null

\selectlanguage{ngerman}\subsection*{Método dinámico 2:}

{\label{222980}}

\(\omega=\left(18.233\pm0.006\right)\frac{1}{s}\)

Calculado anteriormente para el mismo movimiento con la misma masa:

\(\omega=18.2674\frac{1}{s}\)

\selectlanguage{english}
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