This course is devoted to selected problems of classical (theoretical) and fluid mechanics which are usually remain outside the standard course of mechanics. Despite the fact that the course is aimed at students with an understanding of the methods and approaches of classical and fluid mechanics, several lectures of the course are devoted to revision of material from the course of classical (theoretical) mechanics.
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Lectures on Selected Topics in Classical and Fluid Mechanics
Moscow Institute of Physics and TechnologyAbout this Course
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Intermediate Level
Approx. 10 hours to complete
English
Subtitles: English
Skills you will gain
Theoretical mechanicsclassical mechanicsAnalytical mechanics
Flexible deadlines
Reset deadlines in accordance to your schedule.
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Intermediate Level
Approx. 10 hours to complete
English
Subtitles: English
Offered by
Moscow Institute of Physics and Technology
Московский физико-технический институт (Физтех) является одним из ведущих вузов страны и входит в основные рейтинги лучших университетов мира. Институт обладает не только богатой историей – основателями и профессорами института были Нобелевские лауреаты Пётр Капица, Лев Ландау и Николай Семенов – но и большой научно-исследовательской базой.
Syllabus - What you will learn from this course
1 hour to complete
Introduction
The first week starts with the brief overview of the whole course, and continues with introduction to Lagrangian mechanics. We introduce the notion of constraints and discuss Lagrange equation of the first kind.
1 hour to complete
4 videos (Total 22 min), 3 readings, 1 quiz
1 hour to complete
Lagrangian Formalism
The second week is devoted to Lagrange equation of the second kind. We formulate a concept of generalized coordinates, introduce Lagrange function and action function, analyze the role of the least action principle in mechanics and derive Lagrange equation of the second kind from it.
1 hour to complete
4 videos (Total 28 min), 1 reading, 1 quiz
1 hour to complete
Lagrangian Formalism: Specific Problems
The third week continuous the study of Lagrangian formalism. We investigate the general features of an open system dynamics by solving Kelly’s problem. We also analyze the connection between the symmetry of Lagrangian function and the conservation lows for the basic physical quantities, and formulate the main issue of dynamics in central force field.
1 hour to complete
3 videos (Total 18 min), 1 reading, 1 quiz
1 hour to complete
Scattering
The fourth week is devoted to scattering. We analyze general features of the scattering in the central field, and study the scattering on a solid sphere and Rutherford’s scattering. We also compare the main issues of the scattering for short-range and long-range potentials.
1 hour to complete
3 videos (Total 16 min), 1 reading, 1 quiz
Reviews
TOP REVIEWS FROM LECTURES ON SELECTED TOPICS IN CLASSICAL AND FLUID MECHANICS
by NJan 11, 2021
Would be nice to have exercises with derivations and/or calculations. It would also be great to have more detailed explanations during the lectures.
by CAMay 25, 2021
Short videos but challenging structure of the material . Thanks Mikhail Frolov and Rusia
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