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What is nose hooking?
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It's really hard to describe but I'll try. First you have to know that rock climbers use gear with wire cable loops for connection. It can be tiny or up to 1/8" in diameter.
The part of the biner body that flattens out where the gate locks when it closes is the nose.
Some biners use a 'keyhole' closure, Petzl Williams for instance. If you look at it in profile, it's flat and solid, if you turn it 90 degrees it will have sort of a keyhole shape.
Other biners have a recess or notch in that flat part which is evident in profile. Wire gates have to have the notched closure because the recess is where the wire hooks in.
On biners with the recess, a wired stopper(rock gear) can accidentally get caught in the recess. Not only does the gate not close, the load axis goes from the hooked nose to the bottom of the biner where the rope is. If you fall and the stopper holds, the top quarter of the biner will likely break completely.
Clear as mud?
Tree gear doesn't have wire connectors but if a biner binds on a clevis the situation is sort of similar except hopefully the gate is closed. It's not the same but it's a failure mode worth knowing about.