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Source | The UnMuseum - The Great Moon Hoax
The flag waves because the astronauts were wiggling the flagpole back and forth trying to get it to stick in the lunar soil.
Source | NASA Contractor Report 188251 | Where No Flag Has Gone Before: Political and Technical Aspects of Placing a Flag on the Moon
The upper portion then slipped into the base portion of the flagpole, which had been driven into the ground using a lunar geological hammer. A red ring was painted around the base of the assembly 18 inches from the bottom to aid the astronauts in judging the distance that the pole had penetrated the surface.