A square plate of mass m is held by eight springs, each of constant k. Knowing that each s...

A square plate of mass m is held by eight springs, each of constant k. Knowing that each spring can act in either tension or compression, determine the frequency of the resulting vibration if (a) the plate is given a small vertical displacement and released, (b) the plate is rotated through a small angle about G and released.

Fig. P13.90