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\author{Nada Amin\\
\texttt{namin@mit.edu}
}

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\date{Due: 12 September 2008}
\title{6.946 Assignment 1}

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\section*{1.2: Degrees of freedom}

\begin{enumerate}
\item $18 (= 6 * 3)$
\item $2$
\item $4$
\item $1$
\item $1$
\item $1$
\end{enumerate}

\section*{1.3: Generalized coordinates}

\begin{enumerate}

\item For juggling pins $1$, $2$, $3$ (in that order), specify the
  coordinates of two fixed points on the pin (in rectangular form with
  respect to an arbitrary origins).

\item Fix an axis system, with origin at the fixed support point and
  $z$-axis on the rod. Specify $x$ and $y$ coordinates of the hanging
  point mass.

\item Similar to two (b)'s. For second massless rod, fix an axis
  system with origin at fixed support point and $z$-axis on the rod.
  For first massless rod, fix an axis system with origin at second
  point mass and $z$-axis on the rod. Specify the $x$ and $y$
  coordinates of each hanging point mass with respect to their own
  axis system.

\item Fix an origin and direction on the curve. The single coordinate
  is the signed distance travelled on the curve from the origin.

\item The single coordinate is an angle measuring the difference from
  an arbitrary fixed starting configuration.

\item Same as (e).

\end{enumerate}

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