Real-World Examples
A door can only rotate about its hinge axis. One rotational DOF.
A drawer slides only in and out. One translational DOF.
Moves forward/back, left/right, and can turn — but stays on the ground.
Full freedom — can translate and rotate in all 3 axes. A fully unconstrained rigid body.
Ball-and-socket joint — allows roll, pitch, and yaw but no translation.
🦾 Industrial Robot EE
6 DOF
A 6-DOF robot arm can position and orient its end-effector anywhere in space.