BME-202: BIOMECHANICS II SYLLABUS

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Instructor: Professor Currey; Steinmetz 215; curreyj@union.edu; 388-8783 Lectures: Mondays, Wednesdays, & Fridays 11:45 AM to 12:50 PM in Wold 128 Laboratories: Tuesdays 9 to 11: 55 AM and 1:55 to 4:45 PM BUT 106 with Prof. Khetan Office Hours: Officially, Mondays 2:30 to 3:30 PM & Thursdays 9-10 AM or by appointment Required Text: Hibbeler RC. Engineering Mechanics: Dynamics. 14e. Peasron Prentice Hall, 2013. Course Website: http://engineering.union.edu/~curreyj/BME-202.html Register Description: “Kinematics and kinetics of particles and rigid bodies in planar motion with applications to human motion analysis. The course includes Newtonian and energy approaches to problem solutions. Prerequisite: BNG 201” Homework: Homework will be assigned each class. It will be collected at the start of following class (i.e Monday’s homework will be due Wednesday, Wednesday’s homework due Friday, and Friday’s due Monday). Homework must be completed on engineering paper using the problem format presented in this syllabus. Homework will be graded based on completeness, correctness, and neatness (i.e. following the problem format). Collaboration is encouraged on homework since this is one of the best ways to learn, however, each student must turn in their own homework assignment with their own work noting whom they collaborated with. Exams: There will be three (3) exams given during the term. The dates for the exams can be found on the syllabus. Exams 1 and 2 will be administered during the class period. Exam 3 will be administered during the period scheduled by the College in finals week. The exams will be closed everything, but necessary formulas will be provided as the exams are meant to measure comprehension not memorization. Laboratories: Lab attendance is mandatory. There will be five lab sessions devoted to Statistics. The remaining lab sessions will be used to work on three lab exercises. A brief lab write up must be completed for each exercise. We will talk in detail during the labs about how to write up the lab. Grades: Course grades will be determined using these weights: 15% for homework, 60% for exams, and 25% for the laboratories (lab attendance, reports, and statistics homework); and using this scale: ≥93=A, 90-92=A-, 87-89=B+, 83-86=B, 80-82=B-, 77-79=C+, 73-76=C, 70-72=C-, 60-69=D, and ≤59=F. All grading must be contested prior to the beginning of the lecture period following the period at which the original assignment was returned. Contestations must be accompanied by a written explanation of how your solution was incorrectly penalized. Attendance, Punctuality, and Class Conduct: Students are expect turn off their cell phones upon entering class. Students are expected to show respect for the professor and the rest of the class by refraining from using a computer or texting on their phone. Each student will be responsible for knowledge of all scheduling changes and announcements made in class. Without exception no prior, late, or makeup quiz, laboratory, exam, final exam or any other assignment will be administered, accepted, or allowed without a College approved excuse. Please use a "full credit designation" instead of an unapproved excuse. Laboratory attendance is mandatory, and an absence will result in no credit for the associated assignments. Honor Code: “By joining the Union College community, every student agrees to understand and abide by the Honor Code and Affirmation that is hereby set forth. It is the responsibility of the student to ensure that submitted work is his or her own and does not involve any form of academic misconduct. Students need to exercise common sense in making decisions regarding their academic conduct in and outside of the classroom. All students are expected and encouraged to ask their course instructor for any clarification regarding, but not limited to, collaboration, citations, and plagiarism.” Further details about the honor code can be found at: http://muse.union.edu/honorcode/ Students with Disabilities: If you have a specific disability that qualifies you for academic accommodations, please provide a letter from Accommodative Services as soon as possible and then we can meet to discuss any necessary special arrangements. Untimely notice could result in a delay in the receipt of reasonable accommodations.

BME-202: BIOMECHANICS II SYLLABUS

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Homework Format and Grading: Engineering REQUIRES careful precision and attention to detail. Your work is a presentation. Solutions to each and every submitted homework problem must be completed on engineering paper in the format provided. This method should help keep you organized, focused, and thinking like an engineer (it will also mean you don't have to carry your book everywhere to do your homework). Consider these guidelines a checklist for helping you complete your homework, as they will also likely serve you for years to come in this program and beyond. Note that homework solutions will be posted online after the homework has been collected. Each problem will be graded out of 10 points. Two to three homework problems will be assigned each class and will be collected the following class (i.e. Monday’s problems will be due Wednesday). Homework Requirements & Grading:

• (+1 pts) Tools o Use green engineering paper o Write in pencil o Be neat

• (+ 5 pts as follows) Write-up o (+1 pts) Clearly state problem and provide given information.

§ DO write out the full problem statement o (+2 pts) Draw FBDs/Motion Diagrams as appropriate

§ Given sketch from book is NOT sufficient § Draw & label known/unknown forces (-1 pt) § Failure to define and label coordinate axes or inconsistent (-1 pt)

o (+2 pts) Solution Method - All steps necessary to solve § Write out governing equations before plugging in to solve § Show enough steps so that someone can follow solution § Failure to provide governing equation then substituted version (-1 pt)

• (+ 4 pts) Final answers o Failure to include correct units (-1 pt) o Failure to use correct vector or scalar notation (-1 pt) o Failure to double underline or box each final answer (-0.5 pt) o Failure to round correctly (3 sig figs, 4 if first digit is a 1) (-0.5 to -1 pt)

NOTE: FBD DEFINES the meaning of a negative sign in your answers so you MUST include FBD and assumed directions of forces or motion. If not included your answer cannot be considered correct, nor does it communicate the results you've obtained.

BME-202: BIOMECHANICS II SYLLABUS

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BME-202: BIOMECHANICS II SYLLABUS

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Week Class Day Date Month Section Chapter Title Section title or Lab Problems

1

1 M 2 April

1.1 1.2 1.3 1.4

COURSE INTRODUCTOIN GENERAL PRINCIPLES

Mechanics Fundamental Concepts Units of Measurement

The International System of Units Example Problem: Statics Review

2 W 4 April

12.1 12.2

PLANAR KINEMATICS OF A PARTICLE Introduction

Rectilinear Kinematics: Continuous Motion

HW 1 12-19 12-22

3 F 6 April 12.3 Rectilinear Kinematics: Erratic Motion HW 2 F12-12 12-61

2

4 M 9 April 12.4 12.5

General Curvilinear Motion Curvilinear Motion: Rectangular Components

5 W 11 April 12.6 Motion of a Projectile HW 3 12-93 12-95

6 F 13 April 12.7 Curvilinear Motion: Normal and Tangential Components

HW 4 12-122 12-129

3

7 M 16 April 12.8 Curvilinear Motion: Cylindrical Components HW5

12-163 12-167

8 W 18 April 12.9 12.10

Absolute Dependent Motion Analysis of 2 Particles Relative Motion Analysis…Using Translating Axes

HW 6 12-207 12-223

9 F 20 April

16.1 16.2 16.3

PLANAR KINEMATICS OF A RIGID BODY Rigid Body Motion

Translation Rotation About a Fixed Axis

4 10 M 23 April 16.3

16.5 Rotation About a Fixed Axis Continued

Relative Motion Analysis: Velocity

11 W 25 April Homework Session & Exam 1 Review 12 F 27 April EXAM 1 Class 1-8 (HW 1-6)

5

13 M 30 April 16.5 16.6

Relative Motion Analysis: Velocity Continued Instantaneous Center of Zero Velocity

HW 7 F16-4 16-18 16-58

14 W 2 May 16.6 Instantaneous Center of Zero Velocity HW 8 16-82 16-87

15 F 4 May 16.7

Relative Motion Analysis: Acceleration

HW 9 16-106

6

16 M 7 May

13.1 13.2 13.3 13.4

PLANAR KINETICS OF A PARTICLE: FORCE AND ACCELERATION

Newton’s Laws of Motion The Equation of Motion

Equation of Motion for a system of Particles Equations of Motion: Rectangular Coordinates

HW 11 F13-3 13-37

17 W 9 May

13.5

Equations of Motion: Normal and Tangential

Coordinates

HW 12 13-54 13-69

18 F 11 May NO CLASS STEINMETZ DAY

BME-202: BIOMECHANICS II SYLLABUS

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Week Class Day Date Month Section Chapter Title Section title or Lab Problems

7

19 M 14 May

13.6 Equations of Motion: Cylindrical Coordinates

HW 13 13-87 13-95

20 W 15 May

17.1 17.2 17.3

PLANAR KINETICS OF A RIGID BODY: FORCE AND ACCELERATION

Moment of Inertia Planar Kinetic Equations of Motion Equations of Motion: Translation

HW 14 17-26 17-34

21 F 18 May 17.4 Equations of Motion: Rotation about a Fixed Axis HW 15 F17-12 17-67

8

22 M 21 May Homework and Review Session for Exam 2 23 W 23 May Exam 2: HW 8-13

24 F 25 May

14.1 14.2

PLANAR KINETICS OF A PARTICLE: WORK AND ENERGY

The Work of a Force Principle of Work and Energy (POWE)

HW 16 F14-1 14-13

9

25 M 28 May 14.5 14.6

Conservative Forces and Potential Energy Conservation of Energy

HW 17 F14-17 14-78

26 W 30 May

18.1 18.2 18.3 18.4

PLANAR KINETICS OF A RIGID BODY: WORK AND ENERGY

Kinetic Energy The Work of a Force

The Work of a Couple Principle of Work and Energy

HW 18 18-5

18-31

27 F 1 June

15.1 15.2

PLANAR KINETICS OF A PARTICLE: IMPULSE AND MOMENTUM

Principle of Linear Impulse and Momentum (PLIM) PLIM for a System of Particles

HW 19 15-5

15-34

10 28 M 4 June 15.4 Impact

HW 20 15-71 15-77

29 W 6 June Practice Problems 30 F 8 June Exam 3 Review & Course Evaluations

11 T June Final Exam WLDC 128 8:30 -10:30 AM