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\centerline{\textbf{PENDULUM PERIOD WORKSHEET}}
\bigskip


Consider the simple harmonic oscillator pictured below.

\begin{figure}[h]
	\centering
		\includegraphics{osintialconditionsfig1.jpg}
	\label{fig:osinitialconditionsfig1}
\end{figure}

The arbitrary constants of any simple harmonic oscillator expression are determined by the inital conditions.  With this in mind, consider the oscillator expressions below:

$$
x(t)=A \cos{(\omega_{0} t + \phi)}
$$
$$
x(t)=B_{p} \cos{(\omega_{0} t)} + B_{q} \sin{(\omega_{0} t)}
$$

If the initial conditions of the oscillating system in the figure are

$m=0.01 \: kg$ ; $k=36 \: Nm^{-1}$. At $t=0$, $m$ is displaced $50 \: mm$ to the right and is moving to the right at $1.7 \: ms^{-1}$,

Express the motion of the mass in

Form A (even groups)

Form B (odd groups)


\vfill
\leftline{\textit{by Janet Tate}}
\leftline{\copyright DATE Janet Tate}
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