MAE 130B: MECHANICS II – DYNAMICS

 

2008 Summer Session II

 

 

Lectures: MWF 10:00 a.m. – 11:50 a.m. (CENTER 109)

Problems and Exam Sessions: F 12:00 p.m. – 1:50 p.m. (CENTER 109)

http://maecourses.ucsd.edu/mae130b/

 

 

                       Instructor:       Dr. Vlado Lubarda                                                            TA:                     Kristin Schaaf

                       Office:              EBU II  278 (Tel: 534-3169)                                              Office:               EBU II 270

                       Office Hours:  MW 1:30 – 2:30 p.m.                                                        Office Hours:   TuTh 9:30 – 11:00 a.m.

                       Email:               vlubarda@ucsd.edu                                                          Email:               kristinschaaf@gmail.com

 

                       Book:               F. P. Beer, E. R. Johnston, and W.E. Clausen,                          

                         Vector Mechanics for Engineers – Dynamics, 8th ed.

                         (McGraw-Hill, 2006)

   

                        Grading:        Homework        10 %    (Assigned in class)

                                                2 Midterms        50 %    (Friday August 15 and 29, 10:00 a.m. – 12:00 p.m.)

                                                Final Exam        40 %    (Friday September 5, 10:00 a.m. – 1:00 p.m. in CENTER 109)

 

                         Announcements:       

 

                        -- FINAL EXAM SOLUTIONS

                        -- Kristin’s office hours on Thursday 9/4 will be from 9:30 – 10:30 a.m.

                        -- Practice final exams and solutions: FINAL EXAM-2006 and FINAL EXAM 2007

                        -- FINAL EXAM EQUATION SHEET

                        -- FINAL EXAM will be held on Friday 9/5 from 10:00 a.m. – 1:00 p.m. in Center 109.  The final exam will

                           cover chapter 16 and chapter 17.  Please be sure to bring your calculator and a copy of the equation sheet.

                        -- MIDTERM #2 SOLUTIONS

                        -- Practice midterms and solutions: MIDTERM #2-2006 and MIDTERM #2-2007

                        -- MIDTERM #2 EQUATION SHEET 

                        -- MIDTERM #2 will be held on Friday 8/29.  The midterm will cover chapter 13 (impacts and impulses)

                            as well as chapter 15.  Please be sure to bring your calculator and a copy of the equation sheet.  The

                            remainder of class on Friday will be lecture.

                         -- MIDTERM #1 SOLUTIONS 

                         -- MIDTERM #1 will be held on Friday 8/15 from 10:00 – 11:30 a.m.  The midterm will cover chapters 11, 12,

                             and 13 (excluding impacts).  Please be sure to bring your calculator and a copy of the equation sheet posted

                             below.  The remainder of  Friday’s class will be lecture (11:30 a.m. – 1:50 p.m.).

                         -- MIDTERM #1 EQUATION SHEET     

                         -- Homework #1 will be graded and ready for pick-up outside Dr. Lubarda’s office at 12:00 p.m. on 8/14.

                         -- Practice midterms and solutions: MIDTERM #1-2006 and MIDTERM #1-2007

 

                                  Homework:  

 

                         Homework #1: 11.51, 11.111, 11.128, 11.172, 12.19, 12.51, 12.57, 12.92                                        Solutions

                         * Correction: In problem 11.172, rod BC rotates at constant rate ω, not rod OA.

 

                         Homework #2: 13.21, 13.45, 13.67, 13.73, 13.130, 13.141, 13.174, 13.189                                      Solutions

 

                         Homework #3: 15.104, 15.112, 15.114, 15.128, 16.31, 16.52                                                              Solutions

                         15.104: (a) aD = 12.00 ft/s2 → (b) aE = 33.0 ft/s2 →                                                                 Kristin’s Solutions

                         15.112: (a) aA = 267 mm/s2  61° from –x axis (b) aB = 252 mm//s2  64° from x axis

                         15.114: aA = 960 mm/s2 ↑, aB = 1709 mm/s2 69.4° from –x axis, aC = 1655 mm/s2 -65.0° from –x axis

                         15.128: (a) aB = 138.1 ft/s2 78.6° from –x axis (b) aG = 203 ft/s2 19.5° from x axis

                         16.31: (a) α = 11.76 rad/ s2 ccw (b) TA = 8.78 lb, TB = 6.22 lb

                         16.52: aA = 2.71 m/s2 ↑, aB = 1.496 m/s2 ↑

 

                          Homework #4: 16.99, 16.130, 17.11, 17.20, 17.24, 17.30                                                                    Solutions

                          16.99 (a) disk slides (b) α = 0.422 rad/ s2 ccw, a = 2.04 m/s2 →

                          16.130 Ay = 8.13 N ↑  By = 8.61 N ↑

                          17.11 P = 365 N ↓

                          17.20 v = √(4gs/3) ↓

                          17.24 (a) ω2 = 7.32 rad/s (b) E = H = 139.1 N

                          17.30 vA = 4.65 m/s →                 

                        

                          Topics to be covered:

 

                                Dynamics of Particles                                                        Dynamics of Rigid Bodies

                                Kinematics of Particles (Ch 11)                                            Kinematics of Rigid Body Motion (Ch 15)

                                Newton’s Second Law (Ch 12)                                            Plane Motion of Rigid Bodies (Ch 16)

                                Energy and Momentum Methods (Ch 13)                          Energy and Momentum Methods (Ch 17)

                                System of Particles (Ch 14)                                                  Kinetics of Rigid Bodies in 3-D (Ch 18)