When you sit stationary on a bike the only leverage you have to counteract the falling to one side or the other is to shift your body.
When you are moving forward, you have the **additional means of preventing a fall by turning the handlebar toward the fall** — a slight turn of the handlebars while moving, gracefully and easily, stops the fall. We do this without thinking about it once we learn to ride a bike.
Both things together make it simpler to stay upright than one alone.
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