Meriam, Kraige & Bolton — Introduction to Three-Dimensional Dynamics of Rigid Bodies: Problem 7_113

7/113 An experimental car is equipped with a gyro stabilizer to counteract completely the tendency of the car to tip when rounding a curve (no change in normal force between tires and road). The rotor of the gyro has a mass \(m_0\) and a radius of gyration \(k\), and is mounted in fixed bearings on a shaft which is parallel to the rear axle of the car. The center of mass of the car is a distance \(h\) above the road, and the car is rounding an unbanked level turn at a speed \(v\). At what speed \(p\) should the rotor turn and in what direction to counteract completely the tendency of the car to overturn for either a right or a left turn? The combined mass of car and rotor is \(m\).