Question: Here is one sentence: He put the lamp back in its place.
Here is another sentence: He has a special place in my thoughts.
Does the place mean the same thing in the two sentences?

Answer: different meanings

Question: Here is one sentence: Coordinate our efforts.
Here is another sentence: Coordinate his actions with that of his colleagues.
Does the coordinate mean the same thing in the two sentences?

Answer: the same meaning

Question: Here is one sentence: Work one's muscles.
Here is another sentence: My personal trainer works me hard.
Does the work mean the same thing in the two sentences?

Answer: the same meaning

Question: Here is one sentence: I mean no harm.
Here is another sentence: Happiness means everything.
Does the mean mean the same thing in the two sentences?

Answer:
different meanings