Problem Statement Suppose a car has mass M. It has a flywheel with axis running from front to back between left and right set of wheels. Let the flywheel have moment of inertia I and let it rotate clockwise at a constant angular velocity of w (omega). The flywheel shaft is held inside two bearings (front and back and it turns clockwise as seen from back of the car. Assume the shaft is massless (See the attached image). 1) If the car is not on road and in free space (vaccuum), if jets are fired from left-front and right-rear corner so that there is a torque tending to steer the car right, can the car steer or does it precess in vertical plane? If it steers, what is the minimum angular velocity of the flywheel to prevent the steering motion? 2)If the car is on road and it is heavy enough to stay in contact with road at all times, and it tries to take a right turn (steer right). The bearings are strong enough to prevent the flywheel from precessing in vertical plane. So the flywheel essentially is not allowed to precess. Will there be any resistance for the steering motion? My attempt at solution 1) For the first problem I think the car cannot steer due to the jets and just precesses along with the flywheel in the vertical plane. 2) For the second problem I think no resistance is offered for the turn. Am i right? If I am not could you please correct me? I would be glad to read your responses and ideas.