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Collection Of Problems In Classical Mechanics | G. L. Kotkin, V. G. Serbo

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Collection Of Problems In Classical Mechanics
Original Title Collection Of Problems In Classical Mechanics
Author G. L. Kotkin, V. G. Serbo
Publication date

Topics physics, problem book, classical mechanics, conservation laws, small oscillations, Lagrangian, Hamilton-Jacobi equation, poisson bracket, scattering
Collection mir-titles, additional_collections
Language English
Book Type EBook
Material Type Book
File Type PDF
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mirtitles
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T h i s collection is meant for physics students. Its contents correspond roughly to the mechanics course in the textbooks by Landau and Lifshitz (I960), Goldstein (1950), or ter Haar (1964).
We hope that the reading of this collection will give pleasure not only to students studying mechanics, but also to people who already know it. We follow the order in which the material is presented by Landau and Lifshitz, except that we start using the Lagrangian equations in § 4.
The problems in §§ 1-3 can be solved using the Newtonian equations of motion together with the energy, linear momentum and angular momen­ tum conservation laws.
As a rule, the solution of a problem is not finished with obtaining the required formulae. It is necessary to analyse the results and this is of great interest and by no means a “mechanical” part of the solution. In particular, it is very desirable to study limiting cases. This is useful not only for checking purposes and for an understanding of the solution obtained, but also for a preliminary analysis of the problem which can be used to learn how to find the motion of a system by intuition. It is also very useful to investigate what happens to a solution, if the conditions of the problem are varied. We have, therefore, suggested further problems at the end of several solutions.
Apart from a few exceptions, we have used the notation of the Mechanics volume by Landau and Lifshitz (1960) and this is often not specifically stated. In problems on electrical circuits we use SI units and for problems about the motion of particles in electromagnetic fields, gaussian units.
A large part of the problems were chosen for the practical classes with students from the physics faculty of the Novosibirsk State University for a course in theoretical mechanics given by Yu. I. Kulakov. We want especially to emphasise his role in the choice and critical discussion of a large number of problems. We owe a great debt to I. F. Ginzburg for useful advice and hints which we took into account. We are very grateful to V. D. Krivchenkov whose active interest helped us to persevere until the end.
Collection Of Problems In Classical Mechanics
      
 | G. L. Kotkin, V. G. Serbo
Collection Of Problems In Classical Mechanics | G. L. Kotkin, V. G. Serbo
Collection Of Problems In Classical Mechanics Original Title Collection Of Problems In Cla
Collection Of Problems In Classical Mechanics
      
 | G. L. Kotkin, V. G. Serbo
Collection Of Problems In Classical Mechanics | G. L. Kotkin, V. G. Serbo
Collection Of Problems In Classical Mechanics Original Title Collection Of Problems In Cla
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