Mezić Research Group

Dynamical Systems and Nonlinear Control Theory

  • Increase font size
  • Default font size
  • Decrease font size

Assignments and Solutions

Introductory Quiz:

Posted: Jan 5, Due: Jan 12
Assignment (pdf) - Solutions (pdf)
Jan 19: Minor notation changes, and corrected moment of inertia for rotating rod

Homeworks:

  • 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.
Last Updated on Wednesday, 17 March 2010 08:43  

Acknowledgements