Introduction to Classical Mechanics

Citation

Morin, D. (2008). Introduction to Classical Mechanics: With Problems and Solutions. Cambridge University Press.

Chapter Summary

The book has 14 chapters and ten appendices in roughly 710 pages. The publisher describes the coverage as the standard introductory topics (Newton's laws, oscillations, energy, momentum, angular momentum, planetary motion and special relativity) plus more advanced ones: normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors and general relativity. Problems and their solutions are a central feature.

Chapter 1: Strategies for solving problems

The opening chapter is about strategy for solving physics problems in general, in keeping with the book's emphasis on problem solving.

Chapters 2–3: Statics; Using F = ma

Statics comes first, then the use of F = ma, which together set up forces and Newtonian dynamics for the rest of the book.

Chapter 4: Oscillations

Oscillations, which the publisher lists among the standard introductory topics. The description also names normal modes among the more advanced topics that the book covers.

Chapter 5: Conservation of energy and momentum

At about 80 pages, the longest of the early chapters; it covers the two conservation laws that the description lists among the core topics.

Chapter 6: The Lagrangian method

Introduces the Lagrangian approach as an alternative to F = ma. It sits after energy and momentum and before central forces, so the method is available for the later mechanics.

Chapter 7: Central forces

Central-force motion, the setting for the planetary motion named in the description.

Chapters 8–9: Angular momentum, Part I (Constant L); Angular momentum, Part II (General L)

Angular momentum is split in two. Part I treats the case where the angular momentum direction is constant; Part II treats the general case. Together they run to about 150 pages. The description's mention of gyroscopic motion falls within this part of the book, and the back matter includes appendices on the existence of principal axes and on diagonalizing matrices.

Chapter 10: Accelerating frames of reference

Motion described from accelerating frames, the source of the fictitious forces mentioned in the description.

Chapters 11–14: Relativity (Kinematics); Relativity (Dynamics); 4-vectors; General Relativity

Almost a quarter of the book. Two long chapters treat special relativity (kinematics, then dynamics), followed by a short chapter on 4-vectors and a short introduction to general relativity. Appendices F to I collect qualitative relativity questions, derivations of the Lv/c² result, resolutions of the twin paradox and the Lorentz transformations.

Key Concepts

• Problem-solving strategies: general advice on setting up and checking a physics problem (Chapter 1).
• Statics and F = ma: forces in equilibrium and the use of Newton's second law (Chapters 2–3).
• Oscillations and normal modes: periodic motion and the modes of coupled systems.
• Conservation of energy and momentum: the two laws as problem-solving tools (Chapter 5).
• Lagrangian method: equations of motion obtained from a single function rather than from forces (Chapter 6).
• Central forces: motion under a force directed toward a fixed point (Chapter 7).
• Angular momentum: constant and general cases, with principal axes (Chapters 8–9).
• Fictitious forces: apparent forces in accelerating frames (Chapter 10).
• Special relativity, 4-vectors and general relativity: Chapters 11–14.

Critical Analysis

Strengths

• A very large problem collection. The publisher counts more than 250 problems with detailed solutions and over 350 unworked exercises; solutions to the exercises are password protected for instructors. A review in Contemporary Physics judged that the real value of the book lies in its extensive set of problems and worked solutions.
• Explicit commentary. The description says remarks scattered through the text discuss issues that other textbooks often gloss over, and that the book has more than 600 figures.
• Broad scope in one volume. It reaches from statics through Lagrangian mechanics to relativity, including general relativity, so a student can use a single book for a long course.
• Separate treatment of angular momentum and relativity. Angular momentum is split into constant and general cases, and relativity gets four chapters plus appendices, a depth most introductory mechanics books do not give.

Limitations

• Length. Roughly 710 pages, with a quarter given to relativity, is more than most mechanics courses cover; instructors and students must choose chapters.
• Hamiltonian mechanics absent from the contents. The Lagrangian method has a chapter, but the contents list no chapter on Hamiltonian mechanics, so students heading to advanced mechanics will need another text for it.

Where It Fits in the Course

In the mechanics course Morin is a problem-rich undergraduate text covering similar ground to Taylor's Classical Mechanics, the standard intermediate course that continues into Hamiltonian mechanics, chaos and continuum mechanics. Many students will find Morin a good partner to Taylor: Morin for the volume of worked problems and the relativity chapters, Taylor where a conventional syllabus extends to Hamiltonian formalism. Chabay and Sherwood's Matter and Interactions is a calculus-based first-year course built around the momentum principle and computer modelling, and comes before Morin. Susskind and Hrabovsky's The Theoretical Minimum is a compact lecture-style route to Lagrangian and Hamiltonian ideas, and Goldstein's Classical Mechanics is the advanced graduate treatment that follows.

How to Use This Book

The book is for undergraduates who have had a first course in mechanics; the site lists single-variable calculus and introductory mechanics, with some multivariable calculus used later (Appendix B reviews multivariable and vector calculus).

A practical plan: read Chapter 1 for its approach to problems, then Chapters 3–5 to consolidate Newtonian dynamics, energy and momentum. Chapters 4 and 6–10 form the core of a standard intermediate course (oscillations, Lagrangians, central forces, angular momentum, accelerating frames). Chapters 11–14 can be taken as a self-contained relativity unit, with 11–12 as the essential part and 13–14 optional. Use the worked problems actively: attempt each before reading the solution, then use the unworked exercises as homework.