Comment on "Relationship Between Kane's Equations and the Gibbs-Appell Equations"

Introduction D Note is a continuation of exchanges' between himself and Kane on the topic. As discussed herein, the Note denegrates Kane's contribution to dynamics, presents highly controversial interpretations of the relation between the two equations, and reaches erroneous conclusions about which requires the least labor in applications. I regard the one-particle example in the Note as inadequate for discourse on the methods. Therefore, a more general form of the equations is presented. Consider a system S of v nonrigid bodies Z/ which is modeled with n generalized coordinates qa and m nonholonomic constraints. Kane's equation for S can be written as