MIT 2.003SC Engineering Dynamics, Fall 2011 (English)

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Lecture 1: 1. History of Dynamics; Motion in Moving Reference Frames

Lecture 2: 2. Newton's Laws & Describing the Kinematics of Particles

Lecture 3: 3. Motion of Center of Mass; Acceleration in Rotating Ref. Frames

Lecture 4: 4. Movement of a Particle in Circular Motion w/ Polar Coordinates

Lecture 5: R2. Velocity and Acceleration in Translating and Rotating Frames

Lecture 6: 5. Impulse, Torque, & Angular Momentum for a System of Particles

Lecture 7: 6. Torque & the Time Rate of Change of Angular Momentum

Lecture 8: R3. Motion in Moving Reference Frames

Lecture 9: 7. Degrees of Freedom, Free Body Diagrams, & Fictitious Forces

Lecture 10: 8. Fictitious Forces & Rotating Mass

Lecture 11: R4. Free Body Diagrams

Lecture 12: 9. Rotating Imbalance

Lecture 13: 10. Equations of Motion, Torque, Angular Momentum of Rigid Bodies

Lecture 14: R5. Equations of Motion

Lecture 15: 11. Mass Moment of Inertia of Rigid Bodies

Lecture 16: 12. Problem Solving Methods for Rotating Rigid Bodies

Lecture 17: R6. Angular Momentum and Torque

Lecture 18: 13. Four Classes of Problems With Rotational Motion

Lecture 19: 14. More Complex Rotational Problems & Their Equations of Motion

Lecture 20: R7. Cart and Pendulum, Direct Method

Lecture 21: Notation Systems

Lecture 22: 15. Introduction to Lagrange With Examples

Lecture 23: R8. Cart and Pendulum, Lagrange Method

Lecture 24: 16. Kinematic Approach to Finding Generalized Forces

Lecture 25: 17. Practice Finding EOM Using Lagrange Equations

Lecture 26: R9. Generalized Forces

Lecture 27: 18. Quiz Review From Optional Problem Set 8

Lecture 28: 19. Introduction to Mechanical Vibration

Lecture 29: 20. Linear System Modeling a Single Degree of Freedom Oscillator

Lecture 30: 21. Vibration Isolation

Lecture 31: 22. Finding Natural Frequencies & Mode Shapes of a 2 DOF System

Lecture 32: R10. Steady State Dynamics

Lecture 33: 23. Vibration by Mode Superposition

Lecture 34: 24. Modal Analysis: Orthogonality, Mass Stiffness, Damping Matrix

Lecture 35: R11. Double Pendulum System

Lecture 36: 25. Modal Analysis: Response to IC's and to Harmonic Forces

Lecture 37: 26. Response of 2-DOF Systems by the Use of Transfer Functions

Lecture 38: 27. Vibration of Continuous Structures: Strings, Beams, Rods, etc.

Lecture 39: R12. Modal Analysis of a Double Pendulum System