The trucks are the metal axles on which the wheels are fixed. The trucks are screwed in the plate. They are composed of a base on which is mounted an axle that pivots on rubber, which allows to turn.
The size of the trucks is normally related to the width of the plate. The longer the axles, the more stable the skateboard will be. This is one of the reasons why a skater may opt for a wider skateboard deck: to gain stability.
Most of the time, there are at least two main families of trucks in the range. The classic ones have solid axles and are the heaviest. The "Hollow" or "Light" have hollow axles and are therefore lighter (and more expensive). Depending on the brand, there is an ultimate version, the Titanium Trucks, lighter and stronger!
The rubber on which the axle pivots (or bushings) are made of plastic and can vary in hardness (called Duro). Heavier skaters will want to go up in hardness to get a more stable board.