feathered shuttlecock
Small piece of cork with 14 to 16 feathers; it is used in competitions.
cork tip 
The rounded base of the shuttlecock; it can also be made of synthetic materials.
feather crown 
Feathers or synthetic materials attached to the shuttlecock tip to stabilize it and make it aerodynamic.
synthetic shuttlecock 
Small plastic cone that is sturdier than the feathered shuttlecock and is usually used for training; it weighs about 0.2 oz, the same as the feathered shuttlecock.