The word "swung around" refers to a movement in which an object or a person moves in a circular motion or changes direction abruptly. Some possible antonyms for this word could be "stopped," "remained still," "froze," "stood firm," or "maintained a straight path." These words indicate a lack of movement, stability, or predictability, and can be used to describe a situation where there is no swing, rotation, or sudden turn. Other possible antonyms could be "slowed down," "gradually shifted," or "moved in a straight line," which suggest a more controlled, steady, or gentle movement.