If all the teeth are sheared off of gear B, which gear will continue to turn?

In a system of gears, the rotation of one gear affects the rotation of another through interlocking teeth. When gear B has all its teeth sheared off, it essentially becomes non-functional since it can no longer engage with any other gear, including gear A. As a result, gear B will not be able to turn.

However, gear A, which is still intact and has its teeth, is designed to engage with gear B. Since gear A is not impacted by the loss of teeth in gear B, it will continue to turn as long as it is receiving input from another source, such as an external force or another gear that is still functional.

Thus, the reason gear A will continue to turn is that it remains operational despite gear B's inability to interlock with it, leading to the conclusion that only gear A will maintain its motion in this situation.