What is a relatively heavy mass shaped like a wheel and capable of turning and tilting in any direction?

The concept described in the question pertains to a device that can rotate and tilt in various directions due to its mass and design. A rotor is specifically designed as a rotating part of a machine or vehicle, often found in helicopters or some types of engines. It utilizes its mass to generate lift or thrust, allowing the vehicle to maneuver effectively in three-dimensional space.

The ability of a rotor to pivot and adjust its position is crucial for providing stability and control, particularly in aviation. The design of a rotor allows it to rotate around a central axis, which enables it to respond quickly to changes in movement direction, making it vital for flight dynamics.

Other options like a gyro and flywheel have specific functions related to stabilization and energy storage but do not encapsulate the extensive directional movement and tilting capability associated with a rotor. While a stabilizer weight also contributes to balance, it lacks the rotational capability that characterizes a rotor. Thus, the accurate choice for a relatively heavy mass shaped like a wheel that excels in turning and tilting in any direction is indeed a rotor.