A large iceberg in the shape of a cube has a mass density of \(917 \mathrm{~kg} / \mathrm{m}^{3}\) and floats upright in seawater that has a mass density of \(1024 \mathrm{~kg} / \mathrm{m}^{3}\).

(a) If the sides of the cube measure \(75.0 \mathrm{~m}\), what is the iceberg's frequency of oscillation? First show that the motion is simple harmonic.

(b) What would be the frequency of a cube-shaped iceberg that was twice as massive? Solve this part by proportional reasoning.