If you draw a free body diagram, weight is down and thrust is forward. Both force pass through the center of mass so they don&#x27;t impart any moment to the rocket. So it has no tendency to fall over. They do impart a net horizontal force so it has a tendency to run away sideways.<p>For the broomstick, weight is down but &quot;thrust&quot; is both up and  forward. So there is a moment caused by weight at the CoM and up-force at the base.