to lose strength and give way: the body collapsing from exhaustion, or the resolve going slack under pressure
Built from a verb that means to loosen or untie, this word pictures something once taut going slack: a bowstring unstrung, a knot released, muscles that can no longer tense for a fight. The Bible uses it for two kinds of collapse that are at heart the same picture.
In the Gospels it describes the body. Jesus will not send the hungry crowds away in case they collapse from exhaustion on the road home. In Paul and in Hebrews it describes the inner person: the pull to grow slack and give up on doing good, to lose heart under hardship, or to go limp under God's correction. Whether the strength that fails is physical or moral, the same string has gone loose.
Greek has neighboring words for this kind of fatigue. ἐγκακέω is the failure of nerve that Paul sets right beside this verb in Galatians, and κάμνω is being worn out by hard work. This word adds its own picture: resolve going slack, like a bow that can no longer be drawn. The same idea reaches back through the Greek Old Testament, which used it to translate the Hebrew for hands that drop and hearts that melt in fear (רָפָה).