here's the verse:
Men are the protectors and maintainers of women,
because Allah has given the one more strength than the other, and because they support them from their means. Therefore the righteous women are devoutly obedient and guard in the husband's absence what Allah would have them to guard. As to those women on whose part you fear disloyalty and ill-conduct, admonish them (first), (next), refuse to share their beds, (and last) beat them (lightly); but if they return to obedience, seek not against them means (of annoyance); for Allah is most High and Great (above you all). If you fear a breach between them twain, appoint (two) arbiters, one from his family and the other from hers. If they wish for peace, Allah will cause their reconciliation; for Allah has full knowledge and is acquainted with all things." (An-Nisa': 34-35)
it is the duty of the people to enjoin the right and forbid the wrong, and it is obvious that the stronger would be given more responsibilities as long as they are just.
it is laying out the proper orderly conduct.
it is clear that if one has more strength than the other, then it is highly likely that the stronger would be given more authority.
this is clearly seen in the u.n security council and they seem to act like animals without any sense of right or justice.
this one explains it all:
it is amazing how people justify the government shooting, beating and tear-gassing their wife or child in order to maintain "law and order",
yet find it amazing that the head of the house would use a smack on the chest to maintain law and order in the house.
you don't use truncheons:
if the husband acts unjustly - she can get a divorce as can be seen in the narrations.