Period of a Pendulum Lab

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\title{
\normalfont \normalsize 
\textsc{The Hudson School, Hoboken, New Jersey \\ 
\hl{Physics, Winter Semester, 2016}}\\
[10pt] 
\rule{\linewidth}{0.5pt} \\[6pt] 
\huge Pendulum Lab \\
\rule{\linewidth}{2pt}  \\[10pt]
}
\author{Carina Page}
\date{}

\begin{document}

\maketitle
\noindent
Date Performed \dotfill February 3, 2016 \\
Partners \dotfill Valerie Dowret \\ 
Instructor \dotfill Ari Raisa \\

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\section{Purpose}
The purpose of this experiment is to find which of the following three variables affect the period of the pendulum: length, mass, and/or amplitude.

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\section{Hypothesis}
I think that the period of a pendulum depends on only the length of the pendulum because the pendulum with the longer string has a lower frequency and the shorter string has a shorter frequency.




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\section {Materials}
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\begin{enumerate}
\item C-clamp
\item \hl Ring-Stand
\item String
\item Pendulum with various masses	
\end{enumerate}

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\section {Procedure}
\begin{enumerate}
\item Set up the ring stand
\item Apply vise grip to stand and table
\item Tie string to  the pendulum clamp on the ring stand
\item \hl{attach} Attach a desired weight to the pendulum
\item Hold back pendulum to desired position 
\item Release pendulum and track for 50 swings back and forth
\item Divide total time by 50 to get time for one period
\item Do this five times, but each time change length of the pendulum while keeping amplitude and mass the same. Then vary the  amplitude while keeping mass and length the same. Lastly, vary mass while keeping the length and amplitude constant.


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\section {Data}
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We noticed that the release point had more of an effect on the time the pendulum took to do 50 rotations and not the mass.
As we released the pendulum we noticed that though we changed the release point, the time wasn't changing with it








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\section {Discussion}
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The most influential part was the length of the string. 








\subsection{Results}
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We discovered that mass doesn't matter as much as length does.The longer the string was the longer the period was and the shorter string had a shorter period




\subsection{Critique}
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Some of the measurements inaccuracies could of came from human error such as being unable to time the exact time of 50 rotations. Also, it could have came from the inability to let go of the pendulum at the same exact spot. 

\subsection{Definitions}

\begin{enumerate}
\item Period (of a pendulum)- The time for one complete cycle, a left swing and a right swing, is called the period. The period depends on the length of the pendulum, and also to a slight degree on the amplitude, the width of the pendulum's swing.
\item Amplitude- the maximum extent of a vibration or oscillation, measured from the position of equilibrium.
\item Equilibrium- a state in which a process and its reverse are occurring at equal rates so that no overall change is taking place.
\item Linearizing equations- Linearizing equations is this process of modifying an equation to produce
new variables which can be plotted to produce a straight line graph. In
many of your labs, this has been done already
\item Simple Pendulum- Period of Simple Pendulum. A point mass hanging on a massless string is an idealized example of a simple pendulum. When displaced from its equilibrium point, the restoring force which brings it back to the center is given by: Show.
\item Physical pendulum- A physical pendulum is the generalized case of the simple pendulum. It consists of any rigid body that oscillates about a pivot point.

\end{enumerate}






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\section{Conclusion}
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In conclusion, this lab was very informative and showed the difference between the products of length, mass, and amplitude and how it affected a pendulum.  










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