The angular momentum \(\vec{l} = \sum_{i} \vec{l}_{i}\) of a system of particles about a designated origin is the vector sum of the individual momenta of the particles that make up the system. The pre...The angular momentum \(\vec{l} = \sum_{i} \vec{l}_{i}\) of a system of particles about a designated origin is the vector sum of the individual momenta of the particles that make up the system. The precessional angular velocity is given by \(\omega_{P} = \frac{rMg}{I \omega}\), where r is the distance from the pivot to the center of mass of the gyroscope, I is the moment of inertia of the gyroscope’s spinning disk, M is its mass, and \(\omega\) is the angular frequency of the gyroscope disk.
