Session Overview
Covered this week: Balance scales are simple tools that can give the mass of an object relative to another object through finding the equilibrium point. Image courtesy of Lichfield District Council on Flickr. |
Assignments
Problems and Concept Questions
Each problem set has concept questions paired with most problems. Answers to the concept questions are handed in before the overall problem set is due. You should therefore answer the concept questions in each problem set while watching the video lectures for the week. Then, use the Concept Question Answer Key (below in the Check Yourself section) to check your work before continuing to work on the problem set.
Please note that if your answer to the concept question is incorrect, it is likely that you may start down an unproductive pathway to a solution. Try to fully understand the answer to the concept question before you begin the regular problem.
Videos
Lecture Videos
- Watch
Lecture 19: Introduction to Mechanical Vibration
Lecture 19: Introduction to Mechanical Vibration
> Download from iTunes U (MP4 - 240MB)
> Download from Internet Archive (MP4 - 240MB)
- Video Chapters
-
Introduction to the single degree of freedom (SDOF) system
Introduction to the single degree of freedom (SDOF) system
> Download from iTunes U (MP4 - 240MB)
> Download from Internet Archive (MP4 - 240MB)
-
Finding the equation of motion with respect to the static equilibrium position
Finding the equation of motion with respect to the static equilibrium position
> Download from iTunes U (MP4 - 240MB)
> Download from Internet Archive (MP4 - 240MB)
-
Response of the SDOF system to initial conditions
Response of the SDOF system to initial conditions
> Download from iTunes U (MP4 - 240MB)
> Download from Internet Archive (MP4 - 240MB)
- Meaning of phase angle in free decay
-
Engineers approach to the solution of the 2nd order differential equation with initial conditions
Engineers approach to the solution of the 2nd order differential equation with initial conditions
> Download from iTunes U (MP4 - 240MB)
> Download from Internet Archive (MP4 - 240MB)
-
Estimation of natural frequencies and damping ratios from measured response: the logarithmic decrement
Estimation of natural frequencies and damping ratios from measured response: the logarithmic decrement
> Download from iTunes U (MP4 - 240MB)
> Download from Internet Archive (MP4 - 240MB)
-
Introduction to the single degree of freedom (SDOF) system
- Video Chapters
- Watch
Lecture 20: Linear System Modeling a Single Degree of Freedom Oscillator
Lecture 20: Linear System Modeling a Single Degree of Freedom Oscillator
> Download from iTunes U (MP4 - 246MB)
> Download from Internet Archive (MP4 - 246MB)
- Video Chapters
-
Concept question discussion of Problem Set 9
Concept question discussion of Problem set 9-keep
> Download from iTunes U (MP4 - 246MB)
> Download from Internet Archive (MP4 - 246MB)
-
Damped response of spring-mass-dashpot system to initial conditions
Damped response of spring-mass-dashpot system to initial conditions
> Download from iTunes U (MP4 - 246MB)
> Download from Internet Archive (MP4 - 246MB)
-
Finding the response of a pendulum to initial conditions
Finding the response of a pendulum to initial conditions
> Download from iTunes U (MP4 - 246MB)
> Download from Internet Archive (MP4 - 246MB)
- Example: Ballistic pendulum
-
Experimental determination of damping ratio
Experimental determination of damping ratio
> Download from iTunes U (MP4 - 246MB)
> Download from Internet Archive (MP4 - 246MB)
-
Steady state linear system response to harmonic input
Steady state linear system response to harmonic input
> Download from iTunes U (MP4 - 246MB)
> Download from Internet Archive (MP4 - 246MB)
-
Demonstration of a beam with a rotating mass shaker
Demonstration of a beam with a rotating mass shaker
> Download from iTunes U (MP4 - 246MB)
> Download from Internet Archive (MP4 - 246MB)
-
Concept question discussion of Problem Set 9
- Video Chapters
Check Yourself
Concept Question Answer Key and Problem Set Solutions
The solutions are presented in two files, one with the answers to the concept questions, and one with solutions and in-depth explanations for the problems. Work the problems on your own and check your answers when you're done.
- Problem Set 9: Concept Question Answer Key (PDF)
- Problem Set 9: Problem Solutions and Explanations (PDF)