Quirt
From wipipedia.org

A Quirt from www.westernstageprops.com
Quirts are the American equivalent of the riding whip/crop and there are many regional variations. It is sometimes called a riding quirt, horse quirt, or a dog quirt.
The thongs on a quirt are made of leather, buffalo, or cow hide. The core of the quirt is usually a leather bag filled with lead shot; the main part including the handle is often made from braided leather or kangaroo hide.
Quirts are suitable for BDSM play and could be used in place of a crop in a scene.
The Irving Klaw photographs of the model Bettie Page often showed her in a dominant pose holding a whip, usually a quirt.