The axis of a spinning gyroscope is observed to be parallel to the x,y plane and at 45 degrees to both the x and y axis by an inertial observer at rest with the gyroscope axis. (frame S) To an inertial observer in frame S' moving parallel to the x axis of frame S, the axis of the gyroscope appears to be at an angle of less than 45 degrees to the y axis. Now if he considers the change in position of the gyroscope axis in x,y plane to be due to a torque applied to the gyroscope then the gyroscope should have reacted by precessing out of the x,y plane. Obviously, that is not the case because the gyroscope always remains in the x,y plane according to observer S and both observers should agree on that. How is this resolved?