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\noindent Quiz 7


\noindent Math 226, Section 02

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\noindent Suppose that a certain spring is stretched .25 meters when we
hang a mass of 1 kg from it.  Consider the mechanical vibration obtained
by pulling the mass down a further .2 meters and then letting it go.
(Assume in what follows that acceleration due to gravity is 10 meters
per second squared).
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\noindent (A) Assuming that friction is negligible, compute the natural 
              frequency of this system.  
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\noindent (B) Determine how much damping we would need to add to cut the 
              frequency of the vibration in half.  (i.e. what would the 
              damping constant need to be?)

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