Under the condition that the rotation speed of a first rotating shaft is higher than that of a second rotating shaft, supported portions go through right-handed helical flutes to perform an engaging operation. Under the condition that the rotation speed of the first rotating shaft is lower than that of the second rotating shaft, the supported portions go through left-handed helical flutes to perform the engaging operation. In a releasing operation, the supported portions go through the right-handed helical flutes to release a clutch mechanism under the condition that the rotation speed of the first rotating shaft is lower than that of the second rotating shaft, and the supported portions go through the left-handed helical flutes to release the clutch mechanism under the condition that the rotation speed of the first rotating shaft is higher than that of the second rotating shaft.