During preparation for an unsuited entry, the astronaut's spacesuits are stowed in a sleep restraint (sleeping bag) and lashed down in the center aisle by these ropes. The rope is made of PBI (polybenzimidazole) fiber. It is 10-feet long, with plastic ferrules on the ends to prevent fraying. There were five ropes in all stowed at launch in locker A5 of the Apollo command module.
This is one of the five ropes flown on the Apollo 11 mission to the Moon. It was transferred to the Smithsonian in 1970.
This object is not on display at the National Air and Space Museum. It is either on loan or in storage.