A vibratory appliance includes a tool (18) driven to oscillate by a rotary electric motor (13). A shaft (14) supported at an intermediate portion by a pivot (28) is driven by an orbital drive mechanism (31). The orbital drive mechanism includes a rotor (33) rotated about a rotor axis by the motor and an elongate part and a coupler each fixed to a respective one of the inner end (26) and the rotor, the elongate part and coupler (34) being mutually connected for sliding movement relative to one another between first and second relative positions in which the inner end (26) orbits about the rotor axis at first and second orbital radii respectively to thereby vary the amplitude of oscillation of the tool (18).