Sway (verb)

1. Move gently or gradually back and forth or from side to side.
2. Have an influence on or effect upon someone or something.
3. Tilt or cause to tilt to one side.

Origin:

Middle english: from old norse svá "so" + a scandinavian form of the verb swing.

Examples:

1. The trees swayed in the wind.
2. His words swayed her opinion on the matter.
3. The boat swayed from side to side as the waves grew higher.
4. The argument swayed the judge in their favor.
5. The weight of the load caused the crane to sway.