It seems to be a general problem with the weapon racks, dagger stands and whatever-else-they-might-be-called's. Some people seem to be able to decorate their house completely by popping weapons in the weapon racks, fancy daggers on the walls and other things in display cases, some can only use one or two, and some people cannot use any of them.
I myself bought both the house in Windhelm and Whiterun. Whiterun's wall dagger stand thing doesn't work at all for me, neither does the weapon rack here. Windhelm's house is half bugged. The manequins seem to work (aside from the fact that some helmets do not show up), but the weaponracks and the wall-mounted dagger stands again don't work, neither do any of the display cases in the main-armory. Only one of the dagger display case in the master bedroom works (top one).
I am aware that you have to have a weapon equipped that fits the stand, but I am not even able to press A to activate it.
Not sure if the big display cases work in the same manner however. I haven't been able to figure out how to pick-up and drag items in the world yet (RB used to do the trick in Oblivion. Accidentally clicking that while having the Unrelenting Force Shout equipped left me with a very frustrating Fus Ro Dah, blowing away all my items across the room, and then some)