Definition from Wiktionary, the free dictionary
1696, Nicole, Pierre, Moral Essayes, Contain'd in Several Treatises on Many Important Duties, , page 237: OL 15028288M
It is a Veſſel which muſt be filled with Sand to ballance it, otherwiſe it will overturn, and become the Shuttlecock of all ſort of Winds.
1851, Melville, Herman, , Moby-Dick , OL 6984724M ch. 123:
In a severe gale like this, while the ship is but a tossed shuttlecock to the blast, it is by no means uncommon to see the needles in the compasses, at intervals, go round and round.
1859, Landells, Ebenezer, The Boy's Own Toy-maker, , OL 20577707M page 122:
The practice of the game in this country is to keep the shuttlecock in the air by striking it from one person to another.
1862 - General Halleck to General Burnside, Official Records, s.1, vol.21, page 891
They [i.e. the Confederates] are trying to make you play the game of
shuttlecock, by sending troops backward and forward to Harper's Ferry.
1897, James, Henry, , What Maisie Knew , OL 7150009M ch. 2:
Crudely as they had calculated they were at first justified by the event: she was the little feathered shuttlecock they could fiercely keep flying between them.
1997, C. K. Scott-Moncrieff (tr.), , translation of Swann's Way À la recherche du temps perdu: Du côté de chez Swann by Marcel Proust, page 460:
... in front of which a little girl with reddish hair was playing with a shuttlecock;
2012 August 3, “Badminton's black eye”, in Los Angeles Times ,  : ISSN 0458-3035
So when eight women players from three Asian countries did something not quite cricket at the London Olympics, it hit the cloistered organization that oversees the sport like a shuttlecock slam to the groin.