# How do I show that as the mass ratio in a pendulum tuned mass damper system increases, the effect of damping increases?

A pendulum tuned mass damper installed on a building acts as a ‘counteragent’ during building excitation, absorbing some of the kinetic energy (K1 and K2) produced and thus mitigating the amplitude of the structure’s oscillating motion. How do I theoretically show that as the mass ratio increases (ratio of the pendulum’s mass to the building's mass), the effect of damping increases?