This book discusses various rotor systems, rotor dynamics and dynamics of rotating machinery problems through tutorials. Most of covered problems can be derived and solved using hand calculations for deeper understanding of the subject. It correlates the examples provided in this book with real machinery where it can be used, and readers can analyse their own simple rotor system based on the variety of examples presented. All problems are supplemented by independent MATLAB® codes for exploring the subject with more ease with graphical outputs. • Rotordynamics terminology and phenomena are introduced with very simple rotor-bearing models. • In depth analytical dynamic analysis of rotors mounted in flexible bearings and effect of gyroscopic effect in simple rotor system are covered. • Offers the possibility for the reader to reproduce the results and see how the equations are derived and solved in rotor dynamics. Few examples for simple rotor-bearing-coupling system, rotor-bearing-foundation system, and two-spool rotor are covered. • Directions are provided to extend the present exorcise problem and its solutions. • Examples are supplemented by MATLAB® codes with detailed solution steps. • Includes multiple-choice questions and their descriptions. This book is aimed at senior undergraduate/graduate students in mechanical engineering, and scientists & practice engineers from field of rotordynamics, rotating machinery/ turbomachinery and aerospace engineering.