Help Identify this Climbing Gear Please!

Honestly I wouldn't use any rope of unknown provenance. Someone might have taken a hard fall and compromised it. I think you can recycle climbing rope these days, I'd do that.

First, fshgrl is right: if you don't know how the gear has been used and stored, don't use it for climbing. Recycle it, or reuse it for household projects. Second, the first photo is of a sling (http://www.rei.com/product/755451/metolius-18mm-nylon-sling); the second is rope but without knowing details there's no way to say what kind (http://www.rei.com/category/4500081); the third is webbing (http://www.rei.com/product/783605/1-military-spec-tubular-webbing).

The first and last picture are some webbing and a sling, which are used to make anchors, not used as climbing rope. The middle link looks like climbing rope but I would not use that in a million years. The rule for nylon or "soft" gear is generally buy it new unless you personally know all of the history, such as if someone took a large fall or the rope and webbing were not stored properly.

The first one is a present sling. Looks like a double shoulder length spectra runner. (Runner and sling are the same thing). I can't tell the diameter of the second one but it doesn't look like "climbing rope" like you are thinking of. I don't think it is "belay" rope. It looks like thinner diameter like 7 or 8 mm cord. The last one is just a length of webbing. Probably 1" wide. Without getting into too much detail all of these are used for buildings anchors. And nthing everyone else - do NOT use this stuff for climbing. Us it for stuff around the house. It is too sketchy to use gear that isn't purchased new.

Picture #1 is a Dyneema sling. Those are very strong, very light, and hard to knot (they're slippery). They're also more UV resistant. Picture #2 is a rope. Ropes generally come in 60 meter lengths. 50 meters used to be a lot more common. That rope looks like it's been cut down to 30 meters or so. Picture #3 is 1" tubular webbing. That particular webbing is mil-spec, not climb-spec. Mil-spec has a strength of 17kN, climb spec is rated at 19kN. Myself and tons of other climbers use mil-spec all the time. What you have now is some really sturdy gear for hanging a pinata or making a dog leash, or clothesline, or rope swing. I wouldn't trust my life to any of that gear, for reasons ruhroh mentioned. The sling and webbing combined can be purchased new for about $15. Not worth trusting your life to gear that you don't know the history of. That rope might be fine, or it could be that it's time for it to be retired. It's still incredibly strong, so if you have a use for it other than trusting your life to it, keep it.

I'd be more likely to use that rope as a clothes line than a climbing rope.

Thanks everyone! This stuff will be great for hanging up my hammock ;)