In theory of machines and kinematic pairs:
A Spherical pair consists of two kinematic links where one link in the form of a sphere/ball is constrained to rotate/swivel in three-dimensional space inside a fixed spherical socket of another link (e.g., ball-and-socket joint, car mirror attachment).
A Turning pair allows only rotational motion about a fixed axis (e.g., shaft in bearing).
A Rolling pair allows only rolling motion (e.g., ball and roller bearings).
A Screw pair allows rotation accompanied by translation along screw threads.