Translational instrument interface for surgical robot and surgical robot systems comprising the same

A method for actuating an instrument of a surgical robot, the method comprising:

• coupling an instrument to a slave hub of the surgical robot such that a pair of hook-shaped engagers of an actuator disposed in a proximal region of the instrument releasably couples to a respective hook-shaped extension of a pair of receptacles of the slave hub, the actuator coupled to an end-effector disposed in a distal region of the instrument;
• and
• actuating a drive unit coupled to the pair of receptacles to induce translational movement at a first engager of the pair of hook-shaped engagers in a first direction and to induce translational movement at a second engager of the pair of hook-shaped engagers in an opposite direction to thereby move the end-effector in a degree-of-freedom for performing surgery.