A mechanical and magnetic clutch is provided. The clutch includes a clutch device having a first magnet and a movable member having a plurality of magnets. The clutch device has a first position in which the clutch device and the movable member are disengaged and a second position in which the clutch device and the movable member are engaged. One of the plurality of magnets is arranged on the movable member to interact with the first magnet and move the clutch device from the first position to the second position, when the clutch device is moving at a first speed relative to the movable member. The plurality of magnets is arranged on the movable member to interact with the first magnet and keep the clutch device in the first position while the movable member is moving at a second speed relative to the clutch device.