The first prototypes of the Cierva autogyro used a disk tilt mechanism rahter than cyclic pitch by means of a swashplate to achieve roll and pitch (DOI: 10.13140/RG.2.2.19168.94729).
Let's first assume the rotor blades are rigidly connected to the rotor hub and rotation axis. Moreover, let's assume we have two blades. Then, in order to tilt the rotor disk, one needs to apply a moment which scales with the angular momentum of the blades. Hence, the bigger the rotor and/or rotational velocity, the larger the moment required to tilt the disk.
Now, suppose a hinge is added whilst the blades remain rigidly connected to eachother like a seesaw. For the time being, assume the rotor spins in a room filled with stagnant air. What would the required moment be to tilt this rotor by means of disk tilt?
I am stuck on this conceptually: Suppose we move the rotor axis exactly and instantaneously when the rotor is positioned as in A. Since there is a hinge, nothing happens except the rotor will preces to such that the blades are perpendicular to the rotor axis.
Now suppose the instantaneous moment is applied when the rotor is at position B? Then, the blades act as a rigidly connected blade without hinge, right? Does the gyroscopic moment need to be overcome in this situation (omit the infinite moment for infinite acceleration)? Or are both situations the same and am I missing something?