In this work, the optimal tuning and damping ratios are determined for a given mass ratio μ of the system. The same optimization problem was solved for the classical absorber setup in the literature, where it was shown that the maximum amplitude of the primary system decreases with increasing absorber mass. Hence, an optimal mass ratio does not exist in the classical setup case, in which performance increases with increasing mass ratio. As for the proposed absorber setup, the shapes of the frequency response functions shown in Fig. 10 clearly indicate the existence of an optimal mass ratio $\mu opt$. In Fig. 10(a), as μ increases from zero, the height of the equally leveled peaks of *H*(*g*) decreases. If μ is further increased from 0.954 to 2, as shown in Fig. 10(b), the height of the peaks' decreases reaches a minimum value and then increases back again. Hence, this indicates the existence of a minimum value of the peaks' height associated with the optimal mass ratio of the system $\mu opt$. If μ is further increased beyond 2, the peaks' height will increase, as shown in Fig. 10(c). The maximum amplitude (peak's height) of the primary system is calculated and plotted in Fig. 12. For $0<\mu \u22640.954$, the maximum amplitude is simply equal to *H* (0), since the peaks coincide with *Q*_{0} and *Q*_{1}. For $\mu >0.954$, it is equal to $L$ and calculated from Eq. (21). The figure clearly shows the existence of a minimum that corresponds to $\mu opt=1.569,ft1=0.753$, and $\zeta opt1b=0.704$. The resultant lowest maximum amplitude of the primary system that can be achieved is equal to $2.237\xd7\delta st$. The frequency response functions of the primary system and platform associated with $\mu =\mu opt$ are shown in Fig. 13. To achieve the optimal performance of the proposed absorber (i.e., $\u2225H(g)\u2225max=2.237$, using the classical setup, the absorber mass should equal 50% of the primary system mass (i.e., $\mu \u22480.5$, as per Ref. [7]). Typically, the classical absorber mass is a small fraction of the primary system mass, and hence, $\mu \u22480.5$ is too large to be considered an acceptable mass ratio for the classical setup (see Ref. [13]). Assuming that the primary system can withstand this heavy load, implementing an absorber with a mass equal to half of the primary system mass is a real hassle. Furthermore, some systems cannot even tolerate any loading on their external structures, and hence, for such systems, the proposed setup would be more appropriate than the classical one.