fine woollen cloth, mat used by the emperor in worshipping god
氍 centers on a fine woolen fabric, specifically a mat used in imperial worship. The meanings are closely linked: a high-quality woolen cloth used in a sacred context.
氍 combines 毛 (hair, wool) with 瞿, which likely provides the sound. The character refers to a fine woolen fabric, consistent with the 毛 component.
The right side 毛 (wool) and the left side 瞿 (a complex shape) together suggest a special woolen item. Imagine an emperor kneeling on a finely woven wool mat during a ceremony.
For ク, picture a cool woolen mat used in a sacred ritual: cool -> ク, and the mat is made of fine wool.