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COMMUNITY COLLEGE OF BALTIMORE COUNTY
Catonsville Campus
Division of Mathematics, Science, and Engineering
Department of Physics, Astronomy, Earth Science, and Geography
Engineering Physics I
is a first semester in a three semester sequence of
courses in the basic principles of physics for students who are considering a major in
engineering, mathematics, or the physical sciences. Topics studied will be: Newtonian mechanics;
kinematics and dynamics of translational, rotational, and simple harmonic motion;
momentum; energy; and gravitation. While this semester of General Physics does not
include a formal laboratory (the second and third semesters do), an occasional laboratory
"investigation" may be assigned. The course demands a mathematical knowledge of algebra,
trigonometry, and differential calculus. MATH 251-Calculus I and high school physics are also
prerequisite. In addition, reading and writing prerequisites described in the college
catalog are assumed.
SECTION: A
SEMESTER: Spring, 2002
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COURSE MEETING DAYS AND TIMES:
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Monday | 1:10 - 3:15 PM
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Wednesday | 1:10 - 3:15 PM
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INSTRUCTOR: Dr. Robert Sopka
OFFICE LOCATION: Room: D-105
TELEPHONE: 410-455-6931 (my office) or 410-455-4560 (department office)
E-MAIL ADDRESS: rsopka@ccbc.cc.md.us (copy to rsopka@wexis.com)
HOME PAGE: http://neors.cat.cc.md.us/~sopka
OFFICE HOURS: I am usually in or around my office during the following
times. It is best however to call ahead or tell me after class that you want to meet.
| Monday, Wednesday | 12:00 - 1:00 PM |
| Thursday | 11:00 - 12:00 PM |
| Other hours available by appointment! |
CRITICAL DATES/ASSIGNMENTS/ACTIVITIES: Pre-determined examination and quiz
dates for the semester are not possible because they will depend upon how the calendar and
the class schedule agree as time goes by. However, you will find in the Outline of Topics
(later in this document) where the exams fit into our sequence of topics and
all testing activities will be formally announced at
least one week prior to the event.
HOMEWORK: Problems and other exercises will be assigned on a weekly basis.
This is the single most important mechanism by which you will learn the material and your
efforts should focus on these problems.
Each week, a quiz will be given on the problems that have been assigned. Depending on the
time schedule, approximately 10 quizzes will be given. The lowest is dropped at the
end of the semester and for this reason, there is no make-up for missed quizzes. The total of
these quizzes will constitute 15% of your final grade.
COURSE PURPOSE AND OBJECTIVES: This course is intended to provide the
student with an introduction to basis concepts of physics. The quantitative methods of
analysis of physical principles will be emphasized in the lecture portion of the course,
while some of the techniques of measurement, data analysis, and technical writing will
be introduced in the investigations.
INSTRUCTIONAL MATERIALS:
You will need to purchase the following at the bookstore.
Unfortunately, the textbook was a new edition last semester so the it might be difficult to find it
on the used book market.
| REQUIRED TEXTBOOK!! |
| Title: | Physics - Volume 1 |
| 5th Edition |
| Authors: | Robert Resnick |
| David Halliday |
| Kenneth S. Krane |
| Publisher: | John Wiley & Sons, Inc. |
GRADING FORMULA: The following percentages will be used to determine you
final grade for the course.
| Homework Quizzes | 15% |
| 3 Exams - 20% each | 60% |
| Final Exam | 25% |
ATTENDANCE POLICY: Attendance will be required on all examination dates. These
dates will be announced in lecture at least one week in advance. Attendance in lecture is at the
student's discretion. Remember that you are responsible for all lecture material and other
assignments.
If you miss an exam, you must call my office the same day: I will give a make-up exam only
in cases of legitimate absence and only if you call in on the day of the exam. Make-up
exams will be given at the end of the semester.
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OUTLINE OF TOPICS:
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Unit 0: INTRODUCTORY PRELIMINARIES
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Chapter 1 - Measurement
Homework: Exercises 3, 5, 19; Problems 3, 6, 7.
Answer (6) 132 kg/s
- Physical Quantities
- The International System of Units
- Dimensional Analysis
- Conversion of Units
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Unit 1: KINEMATICS
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Chapter 2 - Motion in One-Dimension
Homework:
One Dimensional Kinematics: Exercises 33, 39; Problems 9, 11, 13, 21, 23, 25, 29
Vectors: Exercises 9, 15, 17
- Particle Kinematics
- Properties of Vectors
- Position, Velocity, and Acceleration Vectors
- Motion at Constant Acceleration
- The Acceleration Due to Gravity
Chapter 4 - Motion in Two and Three Dimensions
Homework Problems: Exercises 3, 13, 19, 27, 35; Problems 3, 5, 7, 21, 23
- Motion with Constant Acceleration
- Newton's Laws in Three-Dimensional Motion
- Projectile Motion
- Uniform Circular Motion
- Relative Motion
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Examination 1
Wednesday, February 20, 2002
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Unit 2: NEWTON'S LAWS & FORCE ANALYSIS
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Chapter 3 - Force and Newton's Laws
Homework Problems: Exercises 9, 25, 31; Problems 8
Answer 8 a. 135N b. 45.3N c. 75.4N
- Classical Mechanics
- Newton's First Law
- Force
- Mass
- Newton's Second Law
- Newton's Third Law
- Units of Force
- Weight and Mass
- Measuring Force
- Applications of Newton's Laws
Chapter 4 - Motion in Two and Three Dimensions
Homework Problems: Exercises 7, 9; Problems 3, 13
- Newton's Laws in Two and Three-Dimensions
Chapter 5 - Applications of Newton's Laws
Homework Problems: Exercises 3, 11, 23, 25, 29, 31, 39, 41; Problems 5, 9, 13, 15, 17
- Force Laws
- Frictional Forces
- Frictional Forces
- Dynamics of Uniform Circular Motion
- Equations of Motion: Constant and Non-Constant Forces
- Time Dependent Forces
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Unit 3: WORK & ENERGY
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Vector Operations
Homework Problems: Chapter 11, Exercises 7, 10
Answer 10. (a) r = 11i + 5j - 7k
(b) 120° (c) 123°
Homework Problems: Chapter 9, Exercises 5, 6, 7, 8
Answers 6. a x b = 1.51i + 2.67j - 1.36k units
8. (a) a x b = 11i + 10j + 8k (b) 57°
Homework Problems: See Handout or
CLICK HERE!
- Multiplication of a Vector by a Scalar
- Scalar (Dot) Product
- Vector (Cross) Product
Chapter 11 - Work and Kinetic Energy
Homework Problems: Chapter 11, Exercises 3, 19, 31, 33: Problems 5, 7, 11, 13, 20
Answers 20. (a) Wmg = 0.30 J (b) Wspring = -1.75 J
(c) vo = 3.3 m/s (d) x = 22.5 cm
- Work and Energy
- Work Done by a Constant Force
- Power
- Work Done by a Variable Force
- Kinetic Energy and the Work-Energy Theorem
Chapter 12 - Potential Energy
Homework Problems: Chapter 12, Exercises 6, 7, 11, 15, 18: Problems 3, 11
Answers 6. Umax = 8890 ft-lbs 18. 3.25 cm
- Conservative Forces
- Potential Energy
- Conservation of Mechanical Energy
- Energy Conservation in Rotational Motion
- Conservative Systems
Chapter 13 - Conservation of Energy
Homework Problems: Exercises 11, 13, 17 Problems 6
Answers 6. (a) 24 ft/s (b) 3.0 ft (c) 6.0 ft above relaxed spring
(d) approximately 49 ft
- Work Done on a System by External Forces
- Internal Energy in a System of Particles
- Frictional Work
- Conservation of Energy in a System of Particles
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Unit 4: LINEAR MOMENTUM & COLLISION ANALYSIS
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Chapter 7 - Systems of Particles
Homework: Exercises 7, 8, 13, 14; Problem 6.
Answers (8) mJudy= 55.2 kg (14) xcm= 8.32 cm from end of Fe section.
(6) xcm= (4/3*pi)*R = 4.19 R
- Two-Particle Systems
- Many-Particle Systems
- Center of Mass of Solid Objects
- Conservation of Momentum in a System of Particles
- Systems of Varying Mass
Chapter 6 - Momentum
Homework: Ch. 6 Exercises 3, 17, 21, 23, 25; Problems 4, 11, 15, 19, 21.
Ch. 11 Exercises 41, 42; Problems 32, 33
(NOTE: answer for 33 in back of textbook is wrong, should be a loss of 315 J)
Ch. 13 Exercise 15
Answers: (Ch. 11 Exercise 42) one part stops, other continues forward
with velocity v' = 4 m/s
(Ch. 11 Problem 32) x = 24.8 cm
- Collisions
- Linear Momentum
- Impulse and Momentum
- Conservation of Linear Momentum
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Unit 5: ROTATIONAL MOTION
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Rotational Kinematics
Homework: Chapter 8 Exercises 5, 13, 19; Problems 1, 6, 10.
Answers: Chapter 8 (6) (a) 3.65 rad/s (b) 38.0 m/s
(c) 6.78 m/s2 (d) 139m/s2
(10) t = 16.4 sec
- Rotational Motion
- The Rotational Variables
- Rotational Quantities as Vectors
- Rotation with Constant Angular Acceleration
- Relationships Between Linear and Angular Variables
Rotational Dynamics - Moment of Inertia
Homework Problems: Chapter 9 Exercises 13, 16, 18
Answers: Chapter 9 (16) I = 6490 kg-m2
(18) I = 9.71 x 10-2 kg-m2
- Moment of Inertia
- Parallel Axis Theorem
Rotational Dynamics - Rotational Kinetic Energy
Homework Problems: Chapter 11 Exercises 35, 36, 37; Problem 23
Answers: Chapter 11 (36) (a)KE = 4.75 x 107 Joules
(b) t = 97.3 min
Chapter 12 Exercises 23, 25 Problem 14
Answers: Chapter 12 Problem 14 (a) h = (27/10)R (b) N = (50/7)mg
- Kinetic Energy of Rotation
- Energy Conservation in Rotational Motion
- Combined Translational and Rotational Motion
Rotational Dynamics - Torque Analysis & Statics
Homework Problems: Chapters 9 Exercises 27, 29, 31, 33, 37, 39; Problems 3, 20, 22
Answers: Chapter 9 (22) (a) T = mg/6 (b) a=2g/3
- Torque
- Torque Due to Gravity
- Equilibrium Applications of Newton's Second Law for Rotation
- Nonequilibrium Applications of Newton's Second Law for Rotation
- Combined Translational and Rotational Motion
Rotational Dynamics - Angular Momentum
Homework Problems: Chapter 10 Exercises 17, 24; Problem 3
Answers: Chapter 10 (24) (a) 5.1 x 10-3 rad/sec
(b) 1.9 x 10-2 m/s
- Angular Momentum of a Particle
- Systems of Particles
- Angular Momentum and Angular Velocity
- Conservation of Angular Momentum
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Unit 6: OSCILLATIONS
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Chapter 17 - Oscillations
Homework: Exercises 7, 12, 21, 24, 31, 33; Problems 5, 11, 13, 15.
Answers: Exercise 12(a) A = 34.6 cm (b) f = 2.20 Hz
Exercise 24 (a) A =16.7 cm (b) 1.2%
- Oscillating Systems
- The Simple Harmonic Oscillator
- Simple Harmonic Motion
- Energy Considerations in Simple Harmonic Motion
- Simple Harmonic Motion and Uniform Circular Motion
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Unit 7: GRAVITATION
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Chapter 14 - Gravitation
Homework Problems: Exercises 1, 13, 15, 17, 23, 25, 35
- Gravitation from Ancients to Kepler
- Newton and the Law of Universal Gravitation
- The Gravitational Constant, G
- Gravity near the Earth's Surface
- Gravitational Potential Energy
- Motions of the Planets and Satellites
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Final Examination
Monday, May 20, 2002
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