dynamics of rotating systems

Rotating systems involve objects spinning around an axis, where their motion depends on their mass distribution, speed, and external forces. Key concepts include angular velocity (how fast they spin), angular momentum (the tendency to keep spinning), and torque (forces that change their rotation). Stability depends on factors like the center of mass and how mass is spread out; for example, a spinning top stays upright due to gyroscopic forces. External influences, such as friction or applied forces, can alter rotation speeds and directions. Understanding these dynamics helps in designing everything from engines to stability systems in vehicles and machinery.