Q: Does "beat" have the same meaning in the following two sentences?

Beat one's breast.

This beats me!

A: different meanings

Q: Does "catch" have the same meaning in the following two sentences?

I have some free time tonight so I think I'll catch a movie.

Catch some sleep.

A: different meanings

Q: Does "touch" have the same meaning in the following two sentences?

He got in touch with his colleagues.

This room needs a woman's touch.

A:
different meanings