This analysis extends similar results previously obtained in a paper by Den Hartog and Li, where the remainder torque is calculated at one end of a homogeneous system. Comparative computations made there with complex Holzer tables show excellent agreement with results obtained from the theory of distributed systems. The general boundary-value problem, including the response to an externally applied torque at any section, is solved in this paper. The special case of a homogeneous engine system with a flywheel at one end is analyzed in detail. The theory is illustrated with comparative computations using complex Holzer tables for such a system with external torque applied at a section remote from the ends. Again, numerical results obtained by both methods are in excellent agreement.