$7\mathrm{.}3\mathrm{.}17$ WP Develop the appropriate dimensionless parameters for the period $$ of transverse vibration of a turbine rotor of mass $m$ connected to a shaft of stiffness $k\frac{F}{L}$ and length $lL.$ Other relevant dimensional parameters are the eccentricity $L$ of the center of mass of the rotor, the speed of rotation $N\frac{1}{T}$ of the shaft, and the amplitude $AL$ of the vibration.