There are lot of variety of problems which forms the basis of understanding advance applications of the topic. Here we are discussing some advance illustration cases of rigid body dynamics on which many different types of problems are framed.
Static Equilibrium of Bodies: When a body is in static equilibrium then its center of mass remain at rest
and orientation of body also remain fixed. The condition of a body to be in static equilibrium is that total
vector sum of all forces acting on it as well as net vector sum of all torques acting on it must be zero.
See the Illustration videos below to understand this:
Energy & Momentum Conservation for Rotating Bodies: Momentum Conservation and Work-Energy
theorem is applied in the rotating bodies in the same way like we do in translational motions. Only
difference is here we take total kinetic energy which is sum of translational and rotational kinetic
energies of the body.
See the Illustration videos below to understand this:
https://youtu.be/oe_ltrEGyf8