Why did chinese people probably accept the overthrowing of an old dynasty and the rise of a new dynasty ?

According to this theory, each dynasty of China rises to a political, cultural, and economic peak and then, because of moral corruption, declines, loses the Mandate of Heaven, and falls, only to be replaced by a new dynasty. The cycle then repeats under a surface pattern of repetitive motifs.

a reason that was key to coolidge's victory in the 1924 presidental election was that; democratic party supporters were split in the north and south.