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Most posters already know that if you want to place any object in your Dragonborn's house, you have to first drop it on the floor, leave the house, come back and only then pick it up and (painstakingly) put it where you want - otherwise all your work will be for nothing and the object will end up where you first dropped it. There are, however, a few exceptions from this rule:
"Cooperative" objects - you can drop them and then put them where you want - they will remain there.
Butter
Centurion dynamo core
Deathbell
Mountain flowers (red, purple and blue)
Problematic objects - uless otherwise stated, these items can dissappear when you drop them
Ancient Nord Helmet - doesn't stay on shelves
Bloodscythe - won't stay on weapon racks
Bloodskal Blade - after placed on a weapon rack, it slides higher and higher up until it falls off
Essence extractor
Ghostblade
Glowing crystal shard - after dropping it and leaving the cell, you can't pick it up and manipulate it; you can only take it back into your inventory
Grilled chicken briast - won't stay on plates or in bowls
Map of dragon burials
Maps - can vanish if placed on wooden dressers, end tables, glass weapon displays
Pheasant roast - won't stay on plates or in bowls
Soulrender - won't stay on weapon racks
Stallion's potion - can sink through anything but the floor and potentially get lost
White phial - can sink through anything but the floor and potentially get lost
Wooden mask
Zephyr - can disappear (teleport through the wall) when placed in a glass case or on top of a bookshelf; cannot be displayed on weapon racks (PC)
Problematic containers
Baskets - can vanish from around its contents and return to where it was originally dropped (PS3)
Bookcase (main hall of HF houses, upstairs) - can "eat" books if you place too many on one shelf or try to rearrange them later
Plates - can vanish from under its contents and return to where it was originally dropped (PS3)
Platters - can vanish from under its contents and return to where it was originally dropped (PS3)
Trophy bases in HF trophy room - if you place dragon priest masks or jewellery on them, these items can disappear