2.003SC | Fall 2011 | Undergraduate

Engineering Dynamics

Lecture Videos

video
233 MB
A review of Newton's three laws of motion
video
247 MB
A review of the principle of linear momentum and impulse
video
176 MB
An example deriving equations of motion using Newton's laws
video
220 MB
Angular momentum for rigid bodies and the mass moment of inertia matrix, [I]
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183 MB
Angular momentum of a particle, torque as the time rate of change of angular momentum, and the appearance of the coriolis force
video
230 MB
Application of the wave equation to rods, organ pipes, shower stalls with demonstrations
video
258 MB
Base motion Hx/y transfer function-vibration isolation system design
video
260 MB
Body on rollers with an internal rotating mass
video
183 MB
Candy shooter example of coriolis force done in polar coordinates
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238 MB
Center of percussion problem
video
234 MB
Complete fictitious force discussion
video
261 MB
Complete, independent and holonomic
video
238 MB
Concept question discussion
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234 MB
Concept question discussion-spool and string etc
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234 MB
Concept questions intro showing problems
video
250 MB
Condensing many forces to one force and one moment at center of mass
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247 MB
Damped response of spring-mass-dashpot system to initial conditions
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264 MB
Dealing with damping in modal analysis
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229 MB
Definition of moment of inertia matrix
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183 MB
Definition of normal and tangential coordinates
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227 MB
Degrees of freedom and free body diagrams
video
234 MB
Demo of cart on incline with water in container
video
247 MB
Demonstration of a beam with a rotating mass shaker
video
264 MB
Demonstration of a dynamic absorber using a strobe and a vibrating beam
video
258 MB
Demonstration of a vibration isolation system-strobe light and vibrating beam
video
255 MB
Demonstration of the response of a string to harmonic excitation
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255 MB
Demonstration of the response of a string to initial deflection
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230 MB
Demonstration of wave propagation on a long string
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230 MB
Derivation of the "wave equation"
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255 MB
Direct method for assembling the stiffness of an N DOF system
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264 MB
Discussion of problem set concept questions
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220 MB
Equations of motion (EOM) and degrees of freedom (DOF)
video
231 MB
Equivalent forces and moments acting only upon the center of mass
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241 MB
Estimation of natural frequencies and damping ratios from measured response: the logarithmic decrement
video
258 MB
Euler's formula for complex numbers
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229 MB
Example computation of Izz for a disk
video
250 MB
Example of hockey puck with a pull string-direct method
video
247 MB
Example of the torque/angular momentum relationship to a carnival ride
video
261 MB
Example problems
video
247 MB
Example: Ballistic pendulum
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250 MB
Examples: Atwood's machine and falling stick
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247 MB
Experimental determination of damping ratio
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227 MB
Fictitious centrifugal force
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227 MB
Fictitious force in the elevator
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234 MB
Fictitious force: elevator cable breaks
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252 MB
Finding natural frequencies and mode shapes of multi-dof systems
video
241 MB
Finding the equation of motion with respect to the static equilibrium position
video
268 MB
Finding the natural frequencies by the characteristic equation
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247 MB
Finding the response of a pendulum to initial conditions
video
231 MB
Four classes of rotational problems
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227 MB
Free body diagrams with two bodies
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252 MB
Free vibration of linear multi-DOF systems-intro to mode superposition
video
261 MB
Generalized coordinate definitions
video
250 MB
Generic pendulum by Lagrange
video
176 MB
History of the study of dynamics
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250 MB
Hockey puck by Lagrange
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258 MB
Hx/F transfer function by complex number approach
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243 MB
Intro to the time rate of change of linear and angular momentum for a particlecoordinates
video
176 MB
Introduction to kinematics using reference frames and vectors
video
241 MB
Introduction to the single degree of freedom (SDOF) system
video
238 MB
Kinematic approach to finding generalized forces Example of a wheel on moving cart with an incline
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241 MB
Kinematics: derivative of a rotating vector in cylindrical coordinates
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233 MB
Kinematics: describing the motion of particles and rigid bodies
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241 MB
Kinematics: in translating and rotating frames
video
247 MB
Lecture outline and Use of tangential and normal coordinates with an example
video
260 MB
Mass moment of inertia definition as a summation
video
238 MB
Mass sliding on rod example
video
241 MB
Meaning of phase angle in free decay
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176 MB
Modeling in dynamics
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260 MB
Moments and Products of Inertia
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176 MB
Moving frames: translation and rotation
video
227 MB
Muddy card discussion
video
230 MB
My personal research area: Flow-induced vibration of long strings and beams in fluid flow
video
230 MB
Natural frequencies and mode shapes of the string under tension-with demonstration
video
250 MB
New formula for computing torque about moving points
video
14 MB
Notation Systems
video
264 MB
Obtaining uncoupled equations of motion and determination of modal initial conditions
video
264 MB
Orthogonality and the computation of the mass and stiffness matrices
video
255 MB
Outline of the final three lectures
video
252 MB
Overview of the vibration material to be covered in the course
video
229 MB
Parallel axis theorem
video
258 MB
Predicting natural frequency by SQRT(g/delta)
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229 MB
Principle axes and symmetry rules
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241 MB
Problem solving with an example of a block on a slope
video
233 MB
Purpose of concept questions
video
206 MB
Question and answer period
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243 MB
Question and answer session
video
264 MB
Rayleigh damping and experimental fitting of damping ratios
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234 MB
Reading assignment from Williams on kinematics
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241 MB
Response of the SDOF system to initial conditions
video
255 MB
Response to initial conditions and the use of Rayleigh damping to model modal damping ratios
video
264 MB
Response to initial conditions using modal analysis
video
206 MB
Review of applicable physical laws
video
264 MB
Review of the use of a transfer function to analyze the response of a single DOF system to harmonic input
video
238 MB
Static and dynamic imbalance definitions
video
247 MB
Steady state linear system response to harmonic input
video
255 MB
Steady state response to harmonic excitation by the method of modal analysis
video
233 MB
The definition of center of mass
video
233 MB
The definition of center of rod
video
247 MB
The definition of the angular momentum of a particle with respect to a moving reference point
video
233 MB
The importance of inertial reference frames
video
264 MB
The modal expansion theorem
video
230 MB
The vibration of beams: natural frequencies as a function of boundary conditions, dispersion in wave propagation
video
206 MB
Tipping box problem-alternative form of Eulers equation
video
183 MB
Two examples using polar coordinates
video
183 MB
Vector form of velocity and acceleration in a translating and rotating coordinate system and the expression of them in polar and cylindrical coordinates
video
264 MB
Vibrating string demonstration
video
258 MB
Vibration isolation of the source-H-Ft/Fo transferfunction-with strobe light demo
video
231 MB
Class 1: Rotation about fixed axis through center of mass
video
220 MB
Example 1: Finding EOMs and DOFs
video
243 MB
Example 1: Rotating mass on a string; dP/dt = tension
video
176 MB
Lecture 1: History of Dynamics; Motion in Moving Reference Frames
video
234 MB
Rotating mass demo related to homework 1
video
264 MB
Analysis of the response of a 2-DOF system to harmonic excitation by means of transfer functions and the introduction of the application of the dynamic absorber to mitigate problem vibration
video
238 MB
Cart and pendulum 2 DOF equations of motion
video
231 MB
Class 2: Fixed axis rotation not through center of mass-pendulum example
video
264 MB
Demonstration of modes with the 2 DOF mechanical model
video
241 MB
Engineers approach to the solution of the 2nd order differential equation with initial conditions
video
220 MB
Example 2: EOM for Atwoods machine
video
227 MB
Example 2: Hockey puck
video
243 MB
Example 2a-Pulling the string from a rotating mass through a hole at the axis of rotation. Conservation of angular momentum, h
video
243 MB
Example 2b-work done equals the change in kinetic energy
video
268 MB
Finding the modes shapes of the 2 DOF system
video
233 MB
Lecture 2: Newton's Laws and Describing the Kinematics of Particles
video
252 MB
Linearization of a 2-DOF system
video
268 MB
Matlab simulation of the response of the 2 DOF system to initial conditions
video
252 MB
Mode superposition analysis of a 2-DOF system
video
268 MB
Obtain the equations of motion of a 2 DOF system
video
268 MB
Physical demonstration of the motion of a real 2 DOF system
video
231 MB
Class 3: Unconstrained motion about center of mass-hockey puck example
video
227 MB
Example 3: Rod leaning on a wall
video
220 MB
Example 3: Muddy card issue about dh/dt and torques
video
243 MB
Example 3b: Computing external and internal structural torques using dh / dt; angular momentum vector not aligned with the axis of rotation
video
241 MB
Lecture 3: Motion of Center of Mass; Acceleration in Rotating Ref. Frames
video
233 MB
Newton's 3rd Law action and reaction forces
video
241 MB
Newton's 3rd law recap and application to rigid bodies
video
231 MB
Class 4 example of the pipe rolling on a truck bed
video
231 MB
Class 4: Rotation about moving points; H/A alternative formulation in terms of H/G
video
206 MB
Example 4: Problem with moving points of constraint
video
220 MB
Example 4: Rotating mass shaker and effect of gravity on torque
video
183 MB
Lecture 4: Movement of a Particle in Circular Motion w/ Polar Coordinates
video
247 MB
Lecture 5: Impulse, Torque, and Angular Momentum for a System of Particles
video
243 MB
Lecture 6: Torque and the Time Rate of Change of Angular Momentum
video
227 MB
Lecture 7: Degrees of Freedom, Free Body Diagrams, and Fictitious Forces
video
234 MB
Lecture 8: Fictitious Forces and Rotating Mass
video
260 MB
Lecture 9: Rotating Imbalance
video
220 MB
Lecture 10: Equations of Motion, Torque, Angular Momentum of Rigid Bodies
video
252 MB
Review of the concept questions with Homework 10
video
229 MB
Lecture 11: Mass Moment of Inertia of Rigid Bodies
video
231 MB
Lecture 12: Problem Solving Methods for Rotating Rigid Bodies
video
206 MB
Lecture 13: Four Classes of Problems With Rotational Motion
video
238 MB
Lecture 14: More Complex Rotational Problems and Their Equations of Motion
video
261 MB
Lecture 15: Introduction to Lagrange With Examples
video
238 MB
Lecture 16: Kinematic Approach to Finding Generalized Forces
video
250 MB
Lecture 17: Practice Finding EOM Using Lagrange Equations
video
119 MB
Lecture 18: Quiz Review From Optional Problem Set 8
video
241 MB
Lecture 19: Introduction to Mechanical Vibration
video
247 MB
Lecture 20: Linear System Modeling a Single Degree of Freedom Oscillator
video
258 MB
Lecture 21: Vibration Isolation
video
268 MB
Lecture 22: Finding Natural Frequencies and Mode Shapes of a 2 DOF System
video
252 MB
Lecture 23: Vibration by Mode Superposition
video
264 MB
Lecture 24: Modal Analysis: Orthogonality, Mass Stiffness, Damping Matrix
video
255 MB
Lecture 25: Modal Analysis: Response to IC's and to Harmonic Forces
video
264 MB
Lecture 26: Response of 2-DOF Systems by the Use of Transfer Functions
video
230 MB
Lecture 27: Vibration of Continuous Structures: Strings, Beams, Rods, etc.
video
264 MB
Questions and answers: discussion of helicopter video and the 300 ton dynamic absorber in the Hancock building

Course Info

Departments
As Taught In
Fall 2011
Level
Undergraduate
Topics
Learning Resource Types
Lecture Videos
Exams with Solutions
Problem-solving Videos
Lecture Notes
Problem Sets
Problem Set Solutions
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