Cases of Toppling: There are several problems framed on
cases of toppling. A body topples over a point only if the line of action of
its weight crosses this point in either direction where it can topple. Below is
a case of toppling of a prism which is fundamental but very important in
understanding the way on handling the cases of toppling. See the below
illustration for this concept.
https://youtu.be/Kj6TEz423ws
Applications of Conservation Laws: There are several ways in
which problems of rigid body dynamics are asked on the basis of Laws of Motion,
Conservation of Momentum, Work-Energy theorem, Conservation of Angular
Momentum, concept of Impulse and Angular Impulse. There are many cases in which
more than one concepts are used in solving the given situation. See the
illustration videos below which are based on different situations based on
above concepts.
https://youtu.be/sYajaDQxezc
Acceleration of points on a Rolling Body: Another important
case in rotational motion is to analyze the acceleration of different points on
a rolling body. When a body is in rolling then its different points can have
both tangential and normal acceleration which are to be analyzed very
carefully. To understand the same please see the illustration video given
below.