Abstract: A system is disclosed for minimizing the transmission of vibrations from a vibratory source through a pair of shafts to a handle mounted transversely to the shafts. The handle is mounted to the shafts through resilient, elastomeric, hourglass-shaped shock absorbers. The mass of the handle and the spring stiffness of the shock absorbers are selected to provide the handle with a characteristic frequency (F.sub.c) such that F.sub.s >.sqroot.2 F.sub.c. To limit axial deflection of the shock absorbers when transverse forces are applied to the handle, each of the elastomeric elements is mounted between and inside a respective pair of nested cups having their open ends facing one another, one cup of each pair being connected to the handle and the other cup of each pair being connected to a shaft.