The Uruk-hai is the third chapter in the first book of The Two Towers.
This chapter begins further back in time, telling the story of Merry and Pippin being captured by the orcs, who are lead by Ugluk from Saruman's army, and Grishnakh from Mordor. The two sides of orcs are constantly arguing. The orcs camp near Fangorn, and Grishnakh attempts to take the hobbits away with him. The hobbits escape as Grishnakh is wounded from an arrow and later killed by a Rohan spear. They flee into Fangorn forest as the orcs are attacked by riders of Rohan (the Rohirrim).