Posted by falcon306 on Saturday, July 30, 2011 at 9:32pm.
The oscillation frequency is
f = [1/(2 pi)]sqrt (K/m)
K is the overall spring constant of the four springs in parallel. The k for each individual spring is K/4.
Use the first equation to solve for k and then use k = K/4.
For your second question, m increases from 1400 to 1400 + 4*68 = 1672 kg. That will multiply the original oscillation frequency by a factor sqrt(1400/1672) = 0.9151
I'm not sure how to solve for k though.
With a bit of algebra applied to the equations above.
4 pi^2 f^2 = K/m
K = 4 pi^2*m*f^2
k = K/4 = pi^2*m*f^2
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