拖地 (tuō dì) = to mop the floor. 拖延 (tuō yán) = to procrastinate/delay (more formal). 拖后腿 (tuō hòu tuǐ) = to hold someone back, to be a drag on someone.
memory
The hand radical 扌 on the left + 尤 (especially) — your hand is especially pulling something along behind you.