Instructor: Professor Igor Mezic,

2339 Engineering II,

Tel: 893-7603,

e-mail: mezic@engineering.ucsb.edu.

**Midterms/Final**: TBA

**Teaching Assistants:**

- Ryan Mohr, mohrrm@engr.ucsb.edu, Engr II 2235
- Agharkar Puskharini, agharkar@umail.ucsb.edu, Engr II 2217
- Daniel Wilson, ddwilson@umail.ucsb.edu, Engr II 2317, Tel: (425) 736-4409

- Jeff Kandel, kandeljeff@gmail.com, Tel: (661) 310-8508
- Heather Laurens, hlaurens@umail.ucsb.edu, Tel: (818) 321-6475

- Dr. Mezić -- Tue 1:45pm - 3:00pm, Wed 11am-12pm, Engr II 2339 or by appointment
- Mon: 2:30pm - 3:45pm, Engr II 2243 (Daniel)
- Mon: 4:00pm - 5:00pm, CAD Lab (Puskharini)
- Tue: 3:00pm - 4:00pm, CAD Lab (Puskharini)
- Tue: 4:00pm - 5:00pm, Engr II 2235 (Ryan)
- Tue: 5:00pm - 5:00pm, Engr II 2243 (Daniel)
- Wed: 4:00pm - 5:00pm, Engr II 2235 (Ryan)

- Thu - Homework assignment posted on the website (pdf)
- Following Thu (7 days later), in class - solved homeworks due

- Homeworks - 25%
- Midterm 1 - 20%
- Midterm 2 - 20%
- Final - 35%

Posted: Jan 5, Due: Jan 12

Assignment (pdf) - Solutions (pdf)

Jan 19: Minor notation changes, and corrected moment of inertia for rotating rod

Assignment (pdf) - Solutions (pdf)

Jan 19: Minor notation changes, and corrected moment of inertia for rotating rod

**Homework 10 (Optional)**

Posted: Thu, Mar 11

Due: Thu, Mar 18, in class before the final

Assignment (pdf) - Solutions (pdf)**Homework 9 (Optional)**

Posted: Thu, Mar 4

Due: Tue, Mar 16, in dropbox for full credit

Assignment (zip) - Solutions (pdf)

**Update Mar 12**Minor changes in fourtransform.m function, new version is available above.**Homework 8**

Posted: Thu, Feb 25

Due: Thu, Mar 4, in class

25% off: by Fri, Mar 5, noon, ME163 dropbox (EngrII 2nd floor)

50% off: by Mon, Mar 8, noon, ME163 dropbox (EngrII 2nd floor)

Assignment (pdf) - Solutions (pdf)

**Update Mar 2**The last problem (Tongue 4.38) is for**extra credit**

**Update Mar 3**Typo: the coupling spring in**Problem 3**is torsional, so its units should be Nm/rad. In**Problem 1**, assume the beam is of negligible stiffness.**Homework 7**

Posted: Thu, Feb 18

Due: Thu, Feb 25, in class

25% off: by Fri, Feb 26, noon, ME163 dropbox (EngrII 2nd floor)

50% off: by Mon, Mar 1, noon, ME163 dropbox (EngrII 2nd floor)

Assignment (pdf) - Solutions (pdf) (Coming soon: Laplace transform solution to the first problem.)

**Update Feb 22**Problem 1 equilibrium height is x=0. Problem 3, torsional stiffnesses of roots added.**Homework 6**

Posted: Thu, Feb 11

Due: Thu, Feb 18, in class

25% off: by Fri, Feb 19, noon, ME163 dropbox (EngrII 2nd floor)

50% off: by Mon, Feb 22, noon, ME163 dropbox (EngrII 2nd floor)

Assignment (pdf) - Solutions (pdf)**Homework 5**

Posted: Thu, Feb 4

Due: Thu, Feb 11, in class

25% off: by Fri, Feb 12, noon, ME163 dropbox (EngrII 2nd floor)

50% off: by Mon, Feb 15, noon, ME163 dropbox (EngrII 2nd floor)

Assignment (zip) - Solutions (zip)**Homework 4**

Posted: Thu, Jan 28

Due: Thu, Feb 4, in class

25% off: by Fri, Feb 5, noon, ME163 dropbox (EngrII 2nd floor)

50% off: by Mon, Feb 8, noon, ME163 dropbox (EngrII 2nd floor)

Assignment (pdf) - Solutions (pdf)

**Update Feb 1**In Problem 3, L_eq = H/2. Notation updated to unambiguous form - 1/s means rad/s, not Hz.

**Update Feb 2**In Problem 3, a typo was corrected: the text should refer to "zeta" as damping RATIO, not as damping coefficient.**Homework 3**

Posted: Fri, Jan 22

Due: Thu, Jan 28, in class

25% off: by Fri, Jan 29, noon, ME163 dropbox (EngrII 2nd floor)

50% off: by Mon, Feb 1, noon, ME163 dropbox (EngrII 2nd floor)

Assignment (pdf) - Solutions (zip)

Answers to FAQ: In problem 3, you can treat the slider as a point-mass.

Damped frequency is defined only for underdamped systems, since for overdamped systems there are no oscillations in the output.**Homework 2**

Posted: Thu, Jan 14

Due: Thu, Jan 21, in class

25% off: by Fri, Jan 22, noon, ME163 dropbox (EngrII 2nd floor)

50% off: by Mon, Jan 25, noon, ME163 dropbox (EngrII 2nd floor)

Assignment (pdf) - Solutions (pdf)**Homework 1**

Posted: Thu, Jan 7

Due: Thu, Jan 14, in class

25% off: by Fri, Jan 15, noon, ME163 dropbox (EngrII 2nd floor)

50% off: by Mon, Jan 18, noon, ME163 dropbox (EngrII 2nd floor)

Assignment (pdf) - Solutions (pdf)

Jan 8:**Problem 2 update**: Unstretched rope length L = 0.4 m

Jan 12:**Problem 2 update**: You can assume that the rope stays horizontal during the motion.

Jan 13:**Problem 2 update**: Use t_final = 3 in your simulation.

Jan 13:**Problem 3 update**: Typo, instead M_eff it should read M=200 kg, i.e., the total mass of the cantilever is specified. The oscillating mass is then 200/3 kg.

I. Mezic: Lecture Notes

Mar 8, 2010 - correction pg 119, beating frequency epsilon = (w1 - w2)/2

Mar 4, 2010 - correction pg 117, eqn 3.10

Feb 25, 2010 - update

Feb 4, 2010 - correction to Example on page 75

Jan 21, 2010 - update to pages 53, 57, 60

Jan 12, 2010 - update

Mar 8, 2010 - correction pg 119, beating frequency epsilon = (w1 - w2)/2

Mar 4, 2010 - correction pg 117, eqn 3.10

Feb 25, 2010 - update

Feb 4, 2010 - correction to Example on page 75

Jan 21, 2010 - update to pages 53, 57, 60

Jan 12, 2010 - update

Solutions to the Midterm 2

**Note:** You are allowed to have TWO sheets of handwritten notes as a reminder during the final.

The Sections in the book we covered so far:

- Chapter 1- all except 1.5
- Chapter 2 - all
- Chapter 3 - all

In addition, we covered laplace transform method that is not covered in the book. The Midterm covers material **up to** **lecture 12** in lecture notes.

You can find a selection of practice problems and solutions from Tongue at the following links [Tongue, pdf], [Rayleigh, pdf].

You can find a selection of practice problems and solutions from Tongue at the following links [Tongue, pdf], [Rayleigh, pdf].

System diagonalization Matlab script [m-file]

The part shown in class starts at 4:00

Matlab script for generating a sine wave. [link]

A talk on Ocean Energy: