An instrument that includes a tod a tool-holder complementary means for vibrational coupling of the tool to the tool-holder which can be activated by relative movement of the tool and the tool-holder along a vibrational coupling/uncoupling stroke and complementary rclcaaable means for attaching the tool to the tool-holder allowing, when the tool is attached to the tool-holder, the vibrational coupling/uncoupling stroke. The attachment means may include two attachment members, male and female, which can be attached together by relative movement along an attachment/detachment stroke. The attachment members cannot be deformed during the attachment/detachment stroke. The stroke includes an axial component and a component in a plane substantially transverse to the axial component, referred to as the transverse component. The axial and transverse components of the attachment/detachment stroke are defined by complementary interlocking shapes provided on the two connection members
