Effect of an attached mass and damping on the stability of cantilevered articulated pipes conveying fluid is studied theoretically and experimentally in the case of two degrees of freedom. The transference of flutter-type instability from one branch in root locus diagram to another is discussed. This transference of the instability between two branches is one of the interesting phenomena in this type of non-conservative problems. Stability analyses by Hurwitz criterion are made with and without damping. It is shown by theory and experiment that the theoretical prediction without damping leads to undue stability limit when a big mass is attached near the discharge end of a cantilevered system.