shake, jiggle
抖 centers on a quick, repeated back-and-forth motion: shaking or jiggling something, often with the hand.
抖 combines 扌 (hand) with 斗, which likely contributes the sound and suggests a shaking or measuring motion. The exact historical development is uncertain.
The hand radical 扌 beside 斗 looks like a hand shaking a measuring scoop: the contents jiggle as the hand moves.
For ト, imagine shaking a toe that has fallen asleep: toe -> ト, and your hand jiggles it awake.
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