Which component of a gyroscope is associated with rigidity in space?

The component of a gyroscope associated with rigidity in space is the gyroscopic axis. This axis is defined as the line about which the gyroscope rotates, and it maintains a constant direction in space due to the principle of angular momentum. When the rotor spins, it generates gyroscopic stability, which creates the effect of rigidity in space. This means that, regardless of the orientation of its base or gimbals, the gyroscopic axis remains pointing in the same direction unless acted upon by an external force.

Though the rotor is responsible for the gyroscopic effect due to its rotation, it is the gyroscopic axis that represents the orientation in space that remains constant. The gimbals allow for movement and rotation of the gyro in various directions and do not contribute directly to rigidity, as the gimbals themselves are designed to allow movement. The mounting frame, while it holds the entire assembly in place, does not contribute to the gyroscopic effect or the concept of rigidity in the same way that the gyroscopic axis does.