This book features original and challenging problems in dynamics, drawn from all-Union, Russian national, and other Olympiads in theoretical mechanics held between 1981 and 2008. It also includes insights into the history of the Olympiad movement. Solutions are provided with answers and hints for self-assessment. Recommended for university students studying in bachelor's programs 151000 – Technological Machines and Equipment and 222000 – Innovation, within the discipline of "Mechanics." It can also serve as a valuable resource for independent study in advanced mechanics, preparation for student competitions, and ongoing professional development.