MIT 2.003SC Engineering Dynamics, Fall 2011

This course is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Created by MIT OpenCourseWare.

55 hours

Intermediate

Pick a lesson

1: 1. History of Dynamics; Motion in Moving Reference Frames
2: 2. Newton's Laws & Describing the Kinematics of Particles
3: 3. Motion of Center of Mass; Acceleration in Rotating Ref. Frames
4: 4. Movement of a Particle in Circular Motion w/ Polar Coordinates
5: R2. Velocity and Acceleration in Translating and Rotating Frames
6: 5. Impulse, Torque, & Angular Momentum for a System of Particles
7: 6. Torque & the Time Rate of Change of Angular Momentum
8: R3. Motion in Moving Reference Frames
9: 7. Degrees of Freedom, Free Body Diagrams, & Fictitious Forces
10: 8. Fictitious Forces & Rotating Mass
11: R4. Free Body Diagrams
12: 9. Rotating Imbalance
13: 10. Equations of Motion, Torque, Angular Momentum of Rigid Bodies
14: R5. Equations of Motion
15: 11. Mass Moment of Inertia of Rigid Bodies
16: 12. Problem Solving Methods for Rotating Rigid Bodies
17: R6. Angular Momentum and Torque
18: 13. Four Classes of Problems With Rotational Motion
19: 14. More Complex Rotational Problems & Their Equations of Motion
20: R7. Cart and Pendulum, Direct Method
21: Notation Systems
22: 15. Introduction to Lagrange With Examples
23: R8. Cart and Pendulum, Lagrange Method
24: 16. Kinematic Approach to Finding Generalized Forces
25: 17. Practice Finding EOM Using Lagrange Equations
26: R9. Generalized Forces
27: 18. Quiz Review From Optional Problem Set 8
28: 19. Introduction to Mechanical Vibration
29: 20. Linear System Modeling a Single Degree of Freedom Oscillator
30: 21. Vibration Isolation
31: 22. Finding Natural Frequencies & Mode Shapes of a 2 DOF System
32: R10. Steady State Dynamics
33: 23. Vibration by Mode Superposition
34: 24. Modal Analysis: Orthogonality, Mass Stiffness, Damping Matrix
35: R11. Double Pendulum System
36: 25. Modal Analysis: Response to IC's and to Harmonic Forces
37: 26. Response of 2-DOF Systems by the Use of Transfer Functions
38: 27. Vibration of Continuous Structures: Strings, Beams, Rods, etc.
39: R12. Modal Analysis of a Double Pendulum System