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MATH 220 E1 ~~~~~~ QUIZ \#6  ~~~~~  (20 points)\\*[1em]
(12 minutes, 19 Feb 1999, Sections 4.10-5.2)
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NAME:
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SOCIAL SECURITY NUMBER (SSN):
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DISCUSSION TIME AND DAY (DT\&D):
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{\B 1.   Find General Solution to ODE System:}
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{\B x$^{\prime}$(t) = 3x(t) - 2y(t)}
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{\B y$^{\prime}$(t) = 3x(t) - 4y(t)}
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~\\*[2.0em]
{\B 2.   For Undamped, Free Mass-Spring System:\\*[1ex]
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Mass m = 10 kg,\\ 
Spring Const. k = 40 $\frac{kg}{sec^2}$\\
x(0) = 8 and\\
v(0) = x$^{\prime}$(0) = 0.}
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\parbox[t]{3.25in}{{\hspace*{0.25in}\underline{What is}:}\\
ODE of Motion?\\ 
Amplitude A?\\
Phase \boldmath{$\phi$}?}
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{\it Hint:\\*[0.5ex]}
{\LARGE\boldmath{$\sin(\pi/2)=1, \cos(\pi/2)=0, \sin(\pi)=0, \cos(\pi)=-1$}}
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