MIT OpenCourseWare

Browse materialsMIT 2.032 · Fall 2004

Dynamics

Subjects: Mechanical Engineering · Quantum Mechanics

Art: Frederick Collins, Collins steam engine drawing, 1918 · Public domain

Instructor: Prof. George Haller
Term: Fall 2004
Level: Graduate
What's inside: 1 lecture note · 1 reading · 56 other files · 5 web pages
Materials open: MIT OCW

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About this course

Source: MIT OpenCourseWare 2.032 Dynamics, Fall 2004, Prof. George Haller — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.

Materials are grouped the way MIT organized them. A verified, course-wide order has not been established here.

Has MIT solutions 6 files in this course are named by MIT as solutions.

Before you start

Prerequisites are not listed here. Check MIT's own syllabus for this course.

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A lecture sequence of 26 items is confirmed. Assignment and exam materials exist too, but MIT's own order for them could not be verified, so they're shown as materials below rather than a sequence.

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3 items from the source could not be safely included:

Referenced in a table, but without MIT's own verified order, so it isn't used to claim a sequence. (3 items)

Materials by section

Grouped by section, as MIT organized them. Not sequenced or ordered.

Lecture Notes

24 files

Assignments

10 problem sets

Exams

Study Materials

8 files

Other materials from this course

10 files

MIT OpenCourseWare, Prof. George Haller, 2.032 Dynamics, Fall 2004.

License: CC BY-NC-SA 4.0 · Edition: Fall 2004 · Open the original course on OCW ↗

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Dynamics

Before you start

What's here, and what isn't

Not included here

Materials by section

Lecture Notes

Assignments

Exams

Study Materials

Other materials from this course

Lecture 1: Course Overview Single Particle Dynamics: Linear and Angular Momentum Principles, Work-energy Principle

Lecture 2: Examples of Single Particle Dynamics

Lecture 3: Examples of Single Particle Dynamics (cont.)

Lecture 4: Dynamics of Systems of Particles: Linear and Angular Momentum Principles, Work-energy Principle

Lecture 5: Dynamics of Systems of Particles (cont.): Examples Rigid Bodies: Degrees of Freedom

Lecture 6: Translation and Rotation of Rigid Bodies Existence of Angular Velocity Vector

Lecture 7: Linear Superposition of Angular Velocities Angular Velocity in 2D Differentiation in Rotating Frames

Lecture 8: Linear and Angular Momentum Principle for Rigid Bodies

Lecture 9: Work-energy Principle for Rigid Bodies

Lecture 10: Examples for Lecture 8 Topics

Lecture 11: Examples for Lecture 9 Topics

Lecture 12: Gyroscopes: Euler Angles, Spinning Top, Poinsot Plane, Energy Ellipsoid Linear Stability of Stationary Gyroscope Motion

Lecture 13: Generalized Coordinates, Constraints, Virtual Displacements

Lecture 14: Exam 1

Lecture 15: Generalized Coordinates, Constraints, Virtual Displacements (cont.)

Lecture 16: Virtual Work, Generalized Force, Conservative Forces Examples

Lecture 17: D’Alembert’s Principle Extended Hamilton’s Principle Principle of Least Action

Lecture 18: Examples for Lecture 16 Topics Lagrange’s Equation of Motion

Lecture 19: Examples for Lecture 17 Topics

Lecture 20: Lagrange Multipliers, Determining Holonomic Constraint Forces, Lagrange’s Equation for Nonholonomic Systems, Examples

Lecture 21: Stability of Conservative Systems Dirichlet’s Theorem Example

Lecture 22: Linearized Equations of Motion Near Equilibria of Holonomic Systems

Lecture 23: Linearized Equations of Motion for Conservative Systems Stability Normal Modes Mode Shapes Natural Frequencies

Lecture 24: Examples for Lecture 23 Topics Orthogonality of Modes Shapes Principal Coordinates

Lecture 25: Damped and Forced Vibrations Near Equilibria

Lecture 26: Exam 2