A Falling Bicycle. The moment of inertia of the front wheel of a bicycle about its axle is I, its radius is r, and the forward speed?
With what angular velocity must the front wheel be turned about a vertical axis to counteract the capsizing torque due to a mass m located a distance x horizontally to the right or left of the line of contact of wheels and ground? (Bicycle riders: Compare your own experience and decide whether your answer seems reasonable.)
Take the free fall acceleration to be g.