<p>We employ an effective medium model to investigate the effects of embedded heavy hard spheres as local resonators on the dynamic instability of metacomposite columns subjected to a follower force. Classical formulas for the dynamic buckling of the flutter response of a conventional elastic column subjected to a follower force are extended to a heavy hard sphere-filled metacomposite column under a follower force. The effects of embedded heavy hard spheres on the critical load and the associated flutter frequency of the instability mode are examined for two specific metaelastic composite columns. Our results show that the embedded heavy hard spheres as local resonators have a moderate effect on the flutter frequency but do not affect the critical load for dynamic instability of the metacomposite column under a follower force.</p>