They use the stump of the olive tree to stab Polyphemus (The Cyclops) in the eye to blind him so they can escape out of his cave.
Odysseus and his men hide the wooden stake in the cave where Polyphemus the Cyclops kept his sheep, by sharpening one end and hiding it in a corner. They plan to use it to blind Polyphemus and escape.
Odysseus' plan was a clever strategy in attempt to escape from Polyphemus's cave. This strategy was well thought-out, efficient, and succeeded. First, he would get the cyclops drunk, then he would blind it with a stake, then he would hide his men under the cyclops' sheep when they went out to graze.
In the Odyssey, Polyphemus was blinded by Odysseus and his men by driving a wooden stake into his only eye while he was asleep. This act was part of their escape plan from the cyclops's cave.
eye
The cyclops begins eating Odysseus men, two per sitting. Odysseus and his men make a plan to escape, and get the cyclops drunk. They then stab Polyphemus in the eye blinding him, before escaping underneath the sheep.
When he makes a plan to get all of the men out under the sheep.
Odysseus and his men find the Cyclops Polyphemus in a cave. The Cyclops traps them inside and proceeds to eat some of the men before Odysseus devises a plan to blind Polyphemus and escape.
He didn't do anything horrible to him, he ate most of his men, and swore he would eat Odysseus later. But then Odysseus drove a stake into his eye, and escaped by holding onto the undersides of the sheep while they were walking out of the cave.
They gave him wine so he passed out then stab his eye with a big stake.
In the story of Odysseus and Polyphemus from Greek mythology, Odysseus and his men blind Polyphemus by stabbing a large wooden stake into his eye while he is sleeping. This causes Polyphemus great pain and allows Odysseus and his men to escape from the cyclops' cave.
Polyphemus lived in a cave that used a giant stone slab as a door. This stone slab was so large and heavy that not even Odysseus plus his twelve men would have a chance at moving it. When Polyphemus let his sheep out, he checked to make sure Odysseus and his men were not hiding among the sheep (since his eye was gouged out, he had to rely on his sense of touch). However, since Odysseus and his men were hiding under the sheep, Polyphemus could not feel them out. So, basically the stone slab was Polyphemus' only plan to keep Odysseus and his men in.
Polyphemus reveals that his wounded eye was caused by Odysseus and his men when they pierced it with a sharpened wooden stake. This act led Polyphemus to seek revenge on Odysseus and his crew.