Devices with detachable headbands

A headband system (fig 2, 22) operable with a head-mounted device 10 comprises a first headband 26 having an opening 32 and a head-mounted device housing structure 12 having a post 30 configured to be received within the opening. A latch member is configured to move between an open position in which the latch member does not engage the post and a closed position in which the latch member engages the post and secures the first headband to the head-mounted device housing structure. A second headband 27 is coupled to the head-mounted device housing structure. The post may comprise a first magnet and the second headband may comprise a second magnet to attach the second headband to the post magnetically. The second headband may be an overhead strap configured to be attached to the head-mounted device housing structure between the first headband and the head-mounted device housing structure. The headband system may comprise a hair guard (fig 18, 106) interposed between the first and second headbands.