Understanding Reference Frames in Dynamics

This lecture delves into the concept of reference frames in dynamics, exploring non-inertial reference frames and inertial forces. The instructor explains the formal notation for position, velocity, and acceleration vectors in different reference frames, illustrating the relationship between them. The lecture covers the derivation of the velocity of a point measured in one reference frame relative to another, leading to the concept of relative and absolute velocities. The discussion extends to the derivation of acceleration, including centripetal and Coriolis accelerations, and the application of Newton's second law in inertial reference frames. The lecture concludes by relating these concepts to forces, such as Coriolis and centrifugal forces, and emphasizes the importance of inertial reference frames in dynamics.