Method for mutually controlling and unlocking a dual plug in a lock and a lock with a dual plug

A lock with a dual plug, comprising:

• a lock head, and
• a key, wherein:
• the lock head comprises:
• a lock body,
• a first plug,
• a second plug,
• a first lock mechanism, and
• a second lock mechanism,
• the second plug and the first plug are rotatably disposed in the lock body,
• the second lock mechanism and the first lock mechanism are configured to be unlocked by the key,
• the first lock mechanism is disposed between the first plug and the lock body so as to restrict rotation of the first plug in relation to the lock body,
• the second lock mechanism is disposed between the second plug and the lock body so as to restrict rotation of the second plug in relation to the lock body,
• the second plug and the first plug are controllably connected,
• the first plug comprises a control mechanism to control the second lock mechanism,
• the first plug is configured to be translated from a first position to a second position separated from the first position by a preset position difference,
• before the first plug translates to the second position, the second lock mechanism cannot be unlocked, and
• when the key is inserted into a key hole:
• the key firstly unlocks the first lock mechanism,
• the key then pushes the first plug to move to the second position,
• the control mechanism releases control of the second lock mechanism so that the key is able to unlock the second lock mechanism, and
• the second plug and the first plug rotate synchronously by driving of the key to unlock the lock.