On the 360 you just have to pick up a enemy's weapon.
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You can drop the hat with= and you can drop your Weapon with Backspace when you are using that gear.
the only way you can drop a weapon is if you pick up another weapon to replace it.
hood , weapon , armour
On some games you can but others you cant because they're attached to the enemy.
If you have a splinter that is showing try tape on it and pull gently or a drop of glue, then pull it out gently. If its deep, you may wish to see a doctor or use a sterilized pin to dig it out, but be sure to be careful of infection.