A delivery arm assembly of a medical system includes a head having an end arranged to face a reference plane and a multistage slide mechanism coupled to the head. The multistage slide mechanism includes a long-range slide mechanism configured to move the head in a direction toward the reference plane and a short-range slide mechanism coupled with the long-range slide mechanism. The short-range slide mechanism is configured to stop further movement of the head in the direction toward the reference plane in response to a resistive force against movement of the head toward the reference plane.

A medical system includes a head having an end arranged to face a reference plane and a multistage slide mechanism coupled with the head. The multistage slide mechanism includes a coarse-float mechanism configured to enable movement of the head relative to the reference plane, and a fine-float mechanism configured to limit a force applied through the head to an initial force, and to reduce the force applied through the head to a reduced force less than the initial force in response to a presence of a first triggering event. The first triggering event may correspond to a valid coupling between a cone attachment of the head and a patient interface coupled to an anatomical site at the reference plane.