ME 3210: System Dynamics Homework

Homework problems are listed for the third edition. Many sections have been moved around from the second edition. You can use the second edition, but will need problems from the third.

1: 1, 6 means chapter 1, problems 1 and 6.

Due date	Problems
Aug. 30	Nothing stopping you from working ahead!
Sept. 6	1: 11, 14, 15, 17, 23, 27, 29 I recommend that you perform all appropriate work in Matlab to use this as an opportunity to build your Matlab skills
Sept. 13	1: 31 3: 1, 4, 6, 8, A uniform cylinder is on an incline with slope α. It is held barely out of contact with the ramp and has an initial angular velocity ${\omega }_0$ oriented to propel the cylinder up the ramp. The coefficient of friction for both static and dynamic friction is μ. (It has mass m, radius r). a) If it is set down on the the ramp, and initially slips, how far up the ramp will it move before it begins rolling without slipping? b) Once it starts rolling without slipping, how far up the ramp will it move before it stops moving up and reverses course.
Sept. 20	3: 10, 11, 12, 15, 19, 23
Sept. 27	3: 24, 26, 31, 32, 34, 40, 46
Oct. 4	4: 4, 9, 10, 13, 16, 19, 22, 52, 77, 83
Oct. 11	4: 12, 18, 23, 29, 31 2: 1, 2
Oct. 18	4: 14, 31, 42, 80
Oct. 25	2: 19, 28, 32, 33, 34, 36, 37, 38, 61, 62, 63, 64
Nov. 1	5: 41, 44, 47, 51, 56, 59
Nov. 8	5: 43, 49, 55, 58, 60
Nov. 15	5: 1, 3, 5, 8 5: 11, 16, 18, 23, 25 5: 34, 37
Nov. 22	University Closed I suggest working ahead in because the next batch is big. homework.
Nov. 29	2: 35 BUT with the term $- 12 x$ replaced by $+ 12 x$ simulate the response to validate your answer 6: 1, 3, 5, 9, 15 6: 22, 26, 29, 31
Dec. 6	6: 37, 38, 40, 44, 55 7: 6, 10, 20, 23, 27 7: 34
Suggested/ Review	8: 3, 5, 14, 18, 24 9: 1, 5, 11
Dec. 13, 8 AM-10 AM:	Final Exam