Question: Here is one sentence: His back was nicely tanned.
Here is another sentence: He stood at the back of the stage.
Does the back mean the same thing in the two sentences?

Answer: different meanings

Question: Here is one sentence: A CPU is a component of a computer.
Here is another sentence: Spare components for cars.
Does the component mean the same thing in the two sentences?

Answer: the same meaning

Question: Here is one sentence: I need to rest for a piece.
Here is another sentence: She bought a lovely piece of china.
Does the piece mean the same thing in the two sentences?

Answer: different meanings

Question: Here is one sentence: You really have to empathize with their doing it.
Here is another sentence: You really have to empathize with them.
Does the empathize mean the same thing in the two sentences?

Answer:
the same meaning