## **MEC E 250 - Engineering Mechanics II** **Subject & Number:** MEC E 250 **Title:** Engineering Mechanics II **Course Career:** Undergraduate **Units:** 3.5 **Approved Hours:** 3-1s-0 **Fee index:** 6 **Faculty:** Engineering **Department:** **Typically Offered:** either term or Spring/Summer ### Calendar Description Moments of inertia. Kinematics and kinetics of rigid body motion, energy and momentum methods, impact, mechanical vibrations. Prerequisites: ENGG 130, EN PH 131 and MATH 101. There is a consolidated exam. ### **Learning Outcomes** 1. Convert simple practical mechanical systems into physical and mathematical models involving rigid bodies. 2. Describe the kinematics of planar motion of rigid bodies in terms of a variety of coordinate systems. (3D?) 3. Be proficient in drawing Free Body Diagrams, Kinetic Diagrams and Impulse-Momentum Diagrams and applying these to appropriate problems involving planar motion of rigid bodies. (3D?) 4. Apply Newton\'s Laws and the principles of Work and Energy and Impulse and Momentum to problems involving planar motion of rigid bodies. 5. Apply the principles of Newton\'s Law and Work and Energy to solve simple problems involving undamped vibration of single degree of freedom mechanical systems. > Please see attachment for detailed learning outcomes/course > objectives. ### **Learning Objectives of the Seminars** · The seminars are designed to reinforce lecture materials, to discuss worked examples similar to those asked in assignments, quizzes and examinations and to provide opportunities for **practice** in solving problems. · To develop independent learning and study skills as well as to emphasize the importance of taking responsibility for your own learning: attendance will not be taken BUT IS STRONGLY RECOMMENDED to achieve the stated learning objectives. · To learn how to present clear, logical, coherent written solutions. This will help you with one of the main learning objectives of Mec E 250 concerning communication of your results in written format. ### Assessment Details -------------------------------------------------------------------------- **Activity** **(A)Synchronous** **Due/Scheduled** **Weight** -------------------- -------------------- ------------------- ------------ Assignments weekly 20% Midterm Exam Wednesday October 30% 25 Final Exam Saturday Dec 09 50% -------------------------------------------------------------------------- ### ### Course Accreditation Units The current total and individual Accreditation Unit (AU) counts for this course are: ----------------------------------------------------------------- **Total** **Math** **NS** **ES** **ED** **CS** ------------- ------------- -------- ---------- -------- -------- 44.1 44.1 ----------------------------------------------------------------- ### ### Course Graduate Attributes The Graduate Attributes (GAs) developed in this course are: ------------------------------------------------------------ \# Graduate Attribute Level (I, D, A) ----- ------------------------------------------ ----------- 1 A knowledge base for engineering (KB): D 2 Problem analysis (PA): D 3 Investigation (IN): 4 Design (DE): 5 Use of engineering tools (ET): 6 Individual and team work (TW): 7 Communication skills (CS): 8 Professionalism (PR): 9 Impact of engineering on society and the environment (IS): 10 Ethics and equity (EE): 11 Economics and project management (EP): 12 Life-long learning (LL): ------------------------------------------------------------ ### ### Text and References A textbook is NOT required. All necessary course materials will be made available via eClass. For those wishing to acquire a textbook, the following is highly recommended: Engineering Mechanics - Dynamics, by R.C. Hibbeler - ANY EDITION Pearson Prentice-Hall. ### **F2023 Course Schedule** +-------------+--------------+------------------------------------------------+ | > **Lecture | **Date** | **Sections in Text/Topic** | | > \#** | | | +-------------+--------------+------------------------------------------------+ | 1 | Wednesday | > **1. Introduction to Course/Review** | | | September 06 | | +-------------+--------------+------------------------------------------------+ | 2 | Friday | > (Ch. 16) **2. Kinematics of Rigid Bodies:** | | | September 08 | > (16.1) Planar Rigid-Body Motion; (16.2) | | | | > Translation; | | | | | | | | (16.3) Rotation about a Fixed Axis | +-------------+--------------+------------------------------------------------+ | 3 | Monday | (16.3) WORKED EXAMPLES (of theory from Lecture | | | September 11 | #2) | +-------------+--------------+------------------------------------------------+ | | **Monday | **Seminar #1 (E11) Problems based on Lectures | | | September | #1-3** | | | 11** | | +-------------+--------------+------------------------------------------------+ | 4 | Wednesday | (16.4) Absolute Motion Analysis | | | September 13 | | +-------------+--------------+------------------------------------------------+ | 5 | Friday | (16.5) Relative Motion Analysis: Velocity | | | September 15 | | +-------------+--------------+------------------------------------------------+ | 6 | Monday | (16.5) WORKED EXAMPLES (of theory from Lecture | | | September 18 | #5) | +-------------+--------------+------------------------------------------------+ | | **Monday | **Seminar #2 (E11) Problems based on Lectures | | | September | #4-6** | | | 18** | | +-------------+--------------+------------------------------------------------+ | 7 | Wednesday | (16.6) Instantaneous Center of Zero Velocity | | | September 20 | | +-------------+--------------+------------------------------------------------+ | 8 | Friday | (16.6) WORKED EXAMPLES (of theory from Lecture | | | September 22 | #7) | +-------------+--------------+------------------------------------------------+ | 9 | Monday | (16.7) Relative Motion Analysis: Acceleration | | | September 25 | | +-------------+--------------+------------------------------------------------+ | | **Monday | **Seminar #3 (E11) Problems based on Lectures | | | September | #7-9** | | | 25** | | +-------------+--------------+------------------------------------------------+ | 10 | Wednesday | (16.7) WORKED EXAMPLES (of theory from Lecture | | | September 27 | #9) | +-------------+--------------+------------------------------------------------+ | 11 | Friday | (16.8) Relative Motion Analysis using Rotating | | | September 29 | Axes | +-------------+--------------+------------------------------------------------+ | | **Saturday | **National Day for Truth and Reconciliation: | | | September | University Closed** | | | 30** | | +-------------+--------------+------------------------------------------------+ | 12 | Monday | (16.8) WORKED EXAMPLES (of theory from Lecture | | | October 02 | #11) | +-------------+--------------+------------------------------------------------+ | | **Monday | **Seminar #4 (E11) (Problems based on Lectures | | | October 02** | 11-12)** | +-------------+--------------+------------------------------------------------+ | 13 | Wednesday | > (Ch 17.) **3. Planar Kinetics of a RB: Force | | | October 04 | > and Acceleration**: (17.1) Mass Moment of | | | | > Inertia | +-------------+--------------+------------------------------------------------+ | 14 | Friday | (17.2, 17.3) Planar Kinetic Equations of | | | October 06 | Motion: Translation | +-------------+--------------+------------------------------------------------+ | | **Monday | **Thanksgiving: No class** | | | October 09** | | +-------------+--------------+------------------------------------------------+ | | **Monday | **Thanksgiving: No Seminar** | | | October 09** | | +-------------+--------------+------------------------------------------------+ | 15 | Wednesday | (17.3) WORKED EXAMPLES (of theory from Lecture | | | October 11 | 14) | +-------------+--------------+------------------------------------------------+ | | | **(Suggest sample evaluative materials in | | | | preparation for midterm exam)** | +-------------+--------------+------------------------------------------------+ | 16 | Friday | (17.3) WORKED EXAMPLES (of theory from Lecture | | | October 13 | 14 contd) | +-------------+--------------+------------------------------------------------+ | 17 | Monday | (17.4) Equations of Motion: Rotation about a | | | October 16 | Fixed Axis | +-------------+--------------+------------------------------------------------+ | | **Monday | **Seminar #5 (E11) (Problems based on Lectures | | | October 16** | #13-16)** | +-------------+--------------+------------------------------------------------+ | 18 | Wednesday | (17.4) WORKED EXAMPLES (of theory from Lecture | | | October 18 | 17) | +-------------+--------------+------------------------------------------------+ | 19 | Friday | (17.5) Equations of Motion: General Plane | | | October 20 | Motion | +-------------+--------------+------------------------------------------------+ | 20 | Monday | (17.5) WORKED EXAMPLES (of theory from Lecture | | | October 23 | #19) | +-------------+--------------+------------------------------------------------+ | | **Monday | **Seminar #6 (E11) (Problems based on Lectures | | | October 23** | #17-20)** | +-------------+--------------+------------------------------------------------+ | 21 | Wednesday | (Ch. 18) **4. Planar Kinetics of a Rigid | | | October 25 | Body:** | | | | | | | | (18.1) Work and Energy | +-------------+--------------+------------------------------------------------+ | | **Wednesday | **MIDTERM EXAMINATION: 1900 -- 2030hrs CCIS | | | October 25** | L2-190** | +-------------+--------------+------------------------------------------------+ | 22 | Friday | (18.2) Work of a Force; (18.3) Work of a | | | October 27 | Couple Moment | +=============+==============+================================================+ +------+---------------+-----------------------------------------------+ | 23 | **Monday | (18.4) Principle of Work and Energy | | | October 30** | | +------+---------------+-----------------------------------------------+ | | **Monday | **Seminar #7 (E11) (Problems based on | | | October 30** | Lectures 21-23)** | +------+---------------+-----------------------------------------------+ | 24 | Wednesday | (18.5) Conservation of Energy | | | November 01 | | +------+---------------+-----------------------------------------------+ | 25 | Friday | (18.5) WORKED EXAMPLES (of theory from | | | November 03 | Lecture 24) | +------+---------------+-----------------------------------------------+ | 26 | Monday | (Ch. 19) **5. Planar Kinetics of a Rigid | | | November 06 | Body: Impulse and Momentum**: (19.1) Linear | | | | and Angular Momentum; | | | | | | | | (19.2) Principle of Impulse and Momentum | +------+---------------+-----------------------------------------------+ | | **Monday | **Seminar #8 (E11) (Problems based on | | | November 06** | Lectures #24-25)** | +------+---------------+-----------------------------------------------+ | 27 | Wednesday | (19.1, 2) WORKED EXAMPLES (of theory from | | | November 08 | Lecture #26) | +------+---------------+-----------------------------------------------+ | 28 | Friday | (19.3) Conservation of Momentum | | | November 10 | | +------+---------------+-----------------------------------------------+ | | Saturday | **REMEMBERENCE DAY: UNIVERSITY CLOSED** | | | November 11 | | +------+---------------+-----------------------------------------------+ | | **Monday | **REMEMBERENCE DAY HOLIDAY IN LIEU; | | | November 13** | UNIVERSITY CLOSED; NO CLASS** | +------+---------------+-----------------------------------------------+ | | **Monday | **REMEMBERENCE DAY HOLIDAY IN LIEU; | | | November 13** | UNIVERSITY CLOSED; NO SEMINAR** | +------+---------------+-----------------------------------------------+ | | **Tuesday | **FALL TERM READING WEEK: NO CLASSES** | | | November 14 | | | | -- Friday | | | | November 17** | | +------+---------------+-----------------------------------------------+ | 29 | Monday | (19.3) WORKED EXAMPLES (of theory from | | | November 20 | Lecture #28) | +------+---------------+-----------------------------------------------+ | | **Monday | **Seminar #9 (E11) (Problems based on | | | November 20** | Lectures 26- 28)** | +------+---------------+-----------------------------------------------+ | 30 | Wednesday | (19.4) Eccentric Impact | | | November 22 | | +------+---------------+-----------------------------------------------+ | 31 | Friday | 19.4: WORKED EXAMPLES (of theory from Lecture | | | November 24 | #30) | +------+---------------+-----------------------------------------------+ | 32 | Monday | (Ch. 22) **6. Vibrations: (22.1) Undamped | | | November 27 | Free Vibration** | +------+---------------+-----------------------------------------------+ | | **Monday | **Seminar #10 (E11) (Problems based on | | | November 27** | Lecture #32)** | +------+---------------+-----------------------------------------------+ | 33 | Wednesday | (22.1) WORKED EXAMPLES (of theory from | | | November 29 | Lecture #32) | +------+---------------+-----------------------------------------------+ | 34 | Friday | (22.2) Energy Methods | | | December 01 | | +------+---------------+-----------------------------------------------+ | | | **(Suggest sample evaluative materials in | | | | preparation for final exam)** | +------+---------------+-----------------------------------------------+ | 35 | Monday | (22.2) WORKED EXAMPLES (of theory from | | | December 04 | Lecture #34) | +------+---------------+-----------------------------------------------+ | | **Monday | **Seminar #11 (E11) Problems based on | | | December 04** | Lectures #34-35)** | +------+---------------+-----------------------------------------------+ | 36 | Wednesday | (22.3) Undamped Forced Vibration | | | December 06 | | +------+---------------+-----------------------------------------------+ | 37 | Friday | **LAST CLASS: Review** | | | December 08 | | | | | Work through sample evaluative materials in | | | | preparation for final exam | +------+---------------+-----------------------------------------------+ | | | > **FINAL EXAMINATION** | | | | > | | | | > **0900hrs Saturday December 09 2023** | +======+===============+===============================================+ # Winter Term 4