Predicting the motion of non-rigid bodies involves applying similar mechanics as for rigid bodies, but the mathematics is more complex. While the center of mass motion remains consistent, additional degrees of freedom (DoF) require a more detailed approach. A general solution does not exist for all scenarios, necessitating the formulation of the Lagrangian for the specific system. This process helps in understanding the dynamics of articulated or soft bodies. Ultimately, predicting non-rigid body motion requires advanced mathematical techniques tailored to the system's characteristics.