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Homework Statement
Suppose there is a square plate, of side a and mass M, whose
corners are supported by massless springs, with spring constants K, K, K, and k <= K
(the faulty one). The springs are confined so that they stretch and compress vertically,
with unperturbed length L. The density of the plate is uniform.
(it's a car so the square plate is the chassis and the springs are the suspension)
Explain why the system requires three generalised coordinates to be described
completely.
Homework Equations

The Attempt at a Solution
I'm just really having a hard time visualizing the actual motion of the plate on the springs.
I know there should be a generalized coordinate associated with the displacement of the spring, for each spring.. but I can't make the connection and reduce the number to 3 generalized coordinates, as specified.
I'm thinking that the springs on opposite corners are somehow related..i.e as one goes up the other goes down, but what happens to the 2 other springs in this case?
thanks in advance.