Some equatorial mounts are all-manual, but most can at least have a simple drive attached to move the right ascension axis along automatically, and many have computerized drive systems with motors on both the right ascension and declination axis for automatic pointing and to allow for guiding adjustments during long-exposure astrophotography.
All equatorial mounts have clutches. For manual mounts, you’ll frequently find yourself locking and unlocking these clutches when aiming the telescope around the sky. A computerized mount must have its clutches locked at all times during operation for safety and accurate pointing/tracking, and should only have the clutches unlocked during initial balancing or assembly/disassembly.