A Coriolis flow meter comprises a first flow tube having a first end and a second end. The first end comprises a first reaction force, and the second end comprises a second reaction force. A second flow tube is operably connected to the first flow tube. The second flow tube comprises a first end and a second end. The first end comprises a third reaction force, and the second end comprises, a fourth reaction force. A drive system is operably connected to the first and second flow tubes. At least one balance mass is operably attached the first flow tube or the second flow tube. The one balance mass is sized and positioned to minimize one or more of the first reaction force, the second reaction force, the third reaction force, and the fourth reaction force.