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Review Session #2 Sample Problem
Ben Wang and Mark Styczynski
Again, please forgive any typos.
This is slightly modified from what was presented in
the review session so that there would be only one root (I glossed over the fact that the
square root implied there were two roots, positive and negative).
As a result, things may
be off by a factor of m or g here and there, but the important things to take away from
this sample problem are what we are asking you to do and how you would go about doing
it.
We imagine we have a spring, suspended from the ceiling, and at the end of it is attached
a block with mass m.
This is a special spring, so instead of the normal spring force
equation, its force is defined proportional to the cube of its extension.
So, the force balance equation that we have is
3
Fm
gk
x f
v
=−−
Where g is acceleration due to gravity, k is the spring constant, f is the frictional constant,
and v is the velocity of the block.
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This note was uploaded on 11/27/2011 for the course CHEMICAL E 10.302 taught by Professor Clarkcolton during the Fall '04 term at MIT.
 Fall '04
 ClarkColton

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