Step 1: Recall the three main parts of a longwall face.
A longwall face system has powered roof supports holding the roof, an armoured face conveyor or AFC running along the coal face, and the shearer that actually cuts the coal.
Step 2: Ask how the shearer physically travels along the face.
The shearer has no independent track of its own, instead it rides on and is guided by the AFC, using the conveyor structure itself as its rail while its haulage system pulls it back and forth across the face.
Step 3: Note the dual role this gives the AFC.
So the AFC does two jobs at once, it carries the shearer as a moving platform and also carries away the coal that the shearer cuts loose, which is why it must be extremely rugged.
Step 4: Final answer.
The shearer in longwall face machinery is mounted on the AFC.
\[ \boxed{\text{AFC}} \]