CENTRAL TEXAS COLLEGE SYLLABUS FOR ENGR 2302 Engineering Mechanics - Dynamics Semester Hours Credit: 3 I. INTRODUCTION A. Engineering Mechanics Dynamics, ENGR 2302, is a three-semester-hour course. The course covers such topics as particle and vector mechanics, methods of using momentum to solve for unknown values, collisions of particles, and motion of rigid bodies. B. This course is occupationally related and serves as preparation for careers in engineering. This course satisfies lower division, undergraduate requirements for most degrees in engineering. B. Prerequisite: A grade of C or higher in ENGR 2301. II. LEARNING OUTCOMES Upon successful completion of this course, Dynamics, the student will be able to: A. Express dynamic quantities as vectors in terms of Cartesian components, polar coordinates, and normal-tangential coordinates. (F3, F4) B. Compute mass moments of inertia for systems of particles and rigid bodies. (F3, F4) C. Solve kinematic problems involving rectilinear and curvilinear motion of particles. (F3, F4, F9) D. Solve kinetic problems involving a system of particles using Newton s Second Law. (F3, F4, F9, F11) E. Apply the principles of work and energy, conservation of energy, impulse and momentum, and conservation of momentum to the solution of engineering problems involving particles and systems of particles. (F3, F4, F9, F10) F. Solve kinematic problems involving the translation and rotation of a rigid body. (F3, F4, F9) G. Solve kinetic problems involving planar translation and rotation of rigid bodies. (F3, F4, F9) H. Apply the principles of work and energy, conservation of energy, impulse and momentum, and conservation of momentum to the solution of engineering problems involving rigid bodies in planar motion. (F3, F4, F9, F10) III. INSTRUCTIONAL MATERIALS Page 1
A. The Instructional materials identified for this course are viewable through www.ctcd.edu/books IV. COURSE REQUIREMENTS A. Assignments are given and are due as scheduled by your instructor. The instructor will monitor students progress in completing the assignments. B. Students are expected to attend every class, to arrive at each class on time, and remain in class for the entire period. Instructors may choose to lower a student's grade because of tardiness. V. EXAMINATIONS A. Examinations will be given at appropriate points during the semester. Each examination will be announced in class in advance. There will two unit exams and a final exam. B. Students who miss an exam should discuss with the instructor the circumstances surrounding the absence and options for completing the course. Page 2
VI. SEMESTER GRADE COMPUTATIONS A. The semester average is derived from the periodic unit examinations, the homework in MML, and the comprehensive final exam. The instructor may also use quizzes or posttests to determine your grade. Final grades will follow the grade designation below: Grade Class Average A 90 to 100 B 80 to 89 C 70 to 79 D 60 to 69 F 0 to 59 VII. NOTES AND ADDITIONAL INSTRUCTIONS A. Withdrawal from Course: It is the student's responsibility to officially drop a class if circumstances prevent attendance. Any student who desires to, or must, officially withdraw from a course after the first scheduled class meeting must file an Application for Withdrawal or an Application for Refund. The withdrawal form must be signed by the student. An Application for withdrawal will be accepted at any time prior to Friday of the 12th week of classes during the 16-week fall and spring semesters. The deadline for sessions of other lengths is as follows. Session Deadline for Withdrawal 12-week session Friday of the 9 th week 10-week session Friday of the 7 th week 8-week session Friday of the 6 th week 6- week session Friday of the 4 th week 5- week session Friday of the 3 rd week The equivalent date (75% of the semester) will be used for sessions of other lengths. The specific last day to withdraw is published each semester in the Schedule Bulletin. Students who officially withdraw will be awarded the grade of "W" provided the student's attendance and academic performance are satisfactory at the time of official withdrawal. Students must file a withdrawal application with the college before they may be considered for withdrawal. A student may not withdraw from a class for which the instructor has previously Page 3
issued the student a grade of "F" or "FN" for nonattendance. B. An Administrative Withdrawal: An administrative withdrawal may be initiated when the student fails to meet College attendance requirements. The instructor will assign the appropriate grade on the Administrative Withdrawal Form for submission to the registrar. C. An Incomplete Grade: The College catalog states, "An incomplete grade may be given in those cases where the student has completed the majority of the course work but, because of personal illness, death in the immediate family, or military orders, the student is unable to complete the requirements for a course..." Prior approval from the instructor is required before the grade of "I" is recorded. A student who merely fails to show for the final examination will receive a zero for the final and an "F" for the course. D. Cellular Phones and Beepers: Cellular phones and beepers will be turned off while the student is in the classroom or laboratory. E. Americans With Disabilities Act (ADA): Disability Support Services provide services to students who have appropriate documentation of a disability. Students requiring accommodations for class are responsible for contacting the Office of Disability Support Services (DSS) located on the central campus. This service is available to all students, regardless of location. Explore the website at www.ctcd.edu/disability-support for further information. Reasonable accommodations will be given in accordance with the federal and state laws through the DSS office. F. Civility: Individuals are expected to be cognizant of what a constructive educational experience is and respectful of those participating in a learning environment. Failure to do so can result in disciplinary action up to and including expulsion. G. Math Lab: The Math Department operates an Advanced Mathematics Lab in Building 152, Room 145. All courses offered by the Math Department are supported in the lab with appropriate tutorial software. Calculators and Graphlink are available for student use in the lab. Students are encouraged to take advantage of these opportunities. See posted hours for the Math Lab. H. Office Hours: Full-time instructors post office hours outside the door of the Mathematics Department (Building 152, Room 223). Part-time instructors may be available by appointment. If you have difficulty with the course work, please consult your instructor. Page 4
VIII. COURSE OUTLINE A. Lesson One: Kinematics of Particles (Ch 11) 1. Learning Outcomes: Upon successful completion of this lesson, the student will be able to: a. Discuss dynamics. b. Use the position, velocity, and acceleration components of a particle. c. Determine the motion of a particle. d. Solve problems involving uniform rectilinear motion. e. Solve problems involving several particles. f. Find derivatives of vector functions. g. Determine the velocity and acceleration components of a vector. h. Solve problems involving the tangential and normal components to curvilinear motion. 2. Learning Activities: (F5, F6, F7, F8) a. Section 11.1 (Rectilinear Motion of Particles) b. Section 11.2 (Special Cases and Relative Motion) c. Section 11.4 (Curvilinear Motion of Particles) d. Section 11.5 (Non-Rectangular Components) B. Lesson Two: Kinetics of Particles: Newton s Second Law (Ch 12) 1. Learning Outcomes: Upon successful completion of this lesson, the student will be able to: a. Discuss and apply Newton s Second Law of Motion. b. Solve problems involving linear momentum and rate of change of Page 5
momentum. c. Discuss the system of units. d. Apply equations of motions. e. Solve problems involving dynamic equilibrium. f. Solve problems involving angular momentum. g. Calculate radial and transverse components of motion. h. Apply Newton s Law of Gravitation. i. Discuss and solve space mechanics problems. j. Discuss and apply Kepler s Laws of Planetary Motion. 2. Learning Activities: (F5, F6, F7, F8) a. Section 12.1 (Newton s Second Law and Linear Momentum) b. Section 12.2 (Angular Momentum and Orbital Motion) c. Section 12.3 (Applications of Central-Force Motion ) C. Lesson Three: Kinetics of Particles: Energy and Momentum Methods (Ch 13) 1. Learning Outcomes: Upon successful completion of this lesson, the student will be able to: a. Calculate work of a force. b. Solve problems involving the kinetic energy of a particle. c. Discuss power and efficiency. d. Solve problems involving potential energy. e. Discuss and apply conservation of energy. f. Solve problems involving impulse and momentum. g. Solve problems involving impact. h. Solve problems involving energy and momentum. 2. Learning Activities: Page 6
(F5, F6, F7, F8) a. Section 13.1 (Work and Energy) b. Section 13.2 (Conservation of Energy) c. Section 13.3 (Impulse and Momentum) d. Section 13.4 (Impacts) D. Lesson Four: Systems of Particles (Ch 14) 1. Learning Outcomes: Upon successful completion of this lesson, the student will be able to: a. Discuss and apply Newton s Laws of Motion involving Systems of Particles. b. Solve problems involving Linear and Angular Momemtum. c. Solve problems involving center of mass of a system of particles. d. Apply the conservation of momentum to systems of particles. e. Discuss kinetic energy of systems of particles. f. Discuss impulse and momentum of systems of particles. g. Solve problems involving a steady stream of particles. 2. Learning Activities. (F5, F6, F7, F8) a. Section 14.1 (Applying Newton s Second Law and Momentum Principles to Systems of Particles) b. Section 14.2 (Energy and Momentum Methods for a System of Particles) c. Section 14.3 (Variable Systems of Particles) d. Section 14.4 (Motion of the Mass Center of a System of Particles) e. Section 14.5 (Angular Momentum of a System of Particles about its Mass Center) Page 7
F. Lesson Five: Kinematics of Rigid Bodies (Ch 15) 1. Learning Outcomes: Upon successful completion of this lesson, the student will be able to: a. Discuss rotation about a fixed axis. b. Solve problems involving rotation of a rigid body. c. Define general plane motion. d. Solve problems involving absolute and relative velocity. e. Solve problems involving absolute and relative acceleration. f. Calculate rate of change of a vector with respect to a rotating frame. 2. Learning Activities: (F5, F6, F7, F8) a. Section 15.1 (Translation and Fixed Axis Rotation) b. Section 15.2 (General Plane Motion: Velocity) c. Section 15.3 (Instantaneous Center of Rotation) d. Section 15.4 (General Plane Motion: Acceleration ) e. Section 15.5 (Analyzing Motion with Respect to a Rotating Frame) Page 8