Abstract: The dynamical theory of a single particle on vertical screw transporter has been thoroughly developed. In recent papers Results obtained from single particle are generalized in order to solve the dynamical problem on the assembly of corpuscular substances. However, the simplified assumptions on the assembly as well as the way of generlization made by several authors differ so much from each others thus giving quite different conclusions in the contemporary theories on vertical screw transporter In this paper, the author reviews three typical papers by analyzing different assumptions there involved and points out that the exact theoretical derivation of corpuscular substances as a whole on vertical screw transporter must not be obtained simply from generalizing the formulae of single particle, such as was done by papers so far announced. In case all corpuscles have the same angular velocity about the axis of the rotating screwy and that vibration prevails in the machine it is shown that the solute Lion may be obtained by the principle of moment of forces.