Download Course Code: Title of the Course

Mechanics (MATH 261/PHY 101)
Instructor’s Name:
Zaeem H. Jafri
Office No. & Email:
Room 119.
Office Hours:
To be announced later
[email protected]
Year:
2003-2004
Quarter:
Winter
Category:
Sophomore
TA for the Course:
Course Code
(Units)
Course
Description
Math 261: Mechanics (3 Units)
This course is spread over three modules (Force and Linear Motion, Energy and
Angular Motion). It utilizes mathematics and physics to investigate the laws and
concepts of mechanics.
It begins with measurement systems and Newtonian concepts of force and
motion. Motion is examined in two and three dimensions and concepts of
momentum, friction, work, energy, power and conservation are studied in detail.
Finally an indepth study of rotational motion covering concepts of torque and
angular momentum along with applications is dealt with.
The course ends with a good insight into gravitational force and the laws of
planetary motion.
Core/Elective
Elective
Pre-requisites
None
Goals
At the end of the course the student should be
 Having a good understanding of the laws and concepts of mechanics.
 Having a good back ground for any further academic work in subjects like
Classical mechanics, Dynamical systems, Robotics and Control Engineering.
 Able to apply these concepts to everyday situations in life.
Mechanics (MATH 261/PHY 101)
Year:
Quarter:
TextBooks,
Programming
Environment,
etc.
Text Book:
Fundamentals of Physics
(Extended Fifth Edition)
Reference Book:
1. Mechanics by Kleppner and Kdenkow
2. Conceptual Physics by Paul G. Hewitt.
Lectures,
Tutorials &
Attendance
Policy
Grading
There will be 20 sessions of 75 Minutes each.
Quizzes and Assignments
Mid - Term
Final Exam
25%
35%
40%
2003-2004
Winter
Mechanics (MATH 261/PHY 101)
Year:
2003-2004
Quarter:
Module
(I)
Force
and
Linear
Motion
Topics
Session
Winter
Readings
SI system of Units. Changing
units. Length. Time. Mass.
Vectors and Scalars. Vector
components. Unit vectors. Adding
vectors. Vectors and laws of
Physics. Multiplying vectors.
1
Chapter 1
Measurement
Section 1.1 to 1.6
Chapter 3
Vectors
Section 3.1 to 3.7
Motion. Position and
displacement. Average velocity
and average speed.
Instantaneous velocity and
speed. Acceleration. Constant
acceleration. Free-Fall
acceleration. The particles of
Physics.
2
Chapter 2
Motion along a straight line
Section 2.1 to 2.9
Moving in two or three dimensions.
Position and displacement. Velocity
and average velocity. Acceleration
and average acceleration.
Projectile motion.
3
Chapter 4
Motion in two or three
dimensions
Section 4.1 to 4.5
Projectile motion analysed. Uniform
circular motion.
4
Section 4.6 and 4.7
Problems.
What causes an Acceleration.
Newton’s first law. Force. Mass.
Newton’s second law. Some
particular forces.
5
Chapter 5
Force and motion ( I )
Newton’s third law. Applying
Newton’s laws.
6
Section 5.7 and 5.8
Problems
Friction. Properties of friction. The
Drag force and Terminal speed.
Uniform circular motion.
7
Chapter 6
Force and Motion ( II )
Section 6.1 to 6.4
Forces of nature.
8
Section 6.5. Problems
Section 5.1 to 5.6
( II )
Energy
(III)
Angular
Motion
Mid - Term
9
Kinetic energy. Work. Work and
kinetic energy. Work done by
weight. Work done by a variable
force.
10
Chapter 7
Kinetic Energy and Work
Section 7.1 to 7.5
Work done by a spring force.
Power. Kinetic energy at high
speed.
11
Section 7.6 to 7.8
Potential energy. Path
independence of conservative
forces. Determining potential
energy values. Conservation of
mechanical energy.
12
Chapter 8
Potential Energy and
Conservation of Energy
Section 8.1 to 8.4
Potential energy curve. Work done
by non-conservative forces.
Conservation of energy. Mass and
energy.
13
Section 8.5 to 8.8
Quantized energy.
14
Section 8.9. Problems.
15, 16
Chapter 11
Rotation
Section 11.1 to 11.8
Translation and Rotation. The
Rotational variables. Are
angular Quantities vectors?
Rotation with constant Angular
Acceleration. Relating the linear
and angular variables Kinetic
Energy of Rotation. Calculating
the rotational Inertia Torque.
Newton’s second law for
Rotation. Work and Rotational
Kinetic Energy.
17
Rolling. The Yo-Yo Angular
momentum. Newton’s second
law for rotation in Angular form.
The angular momentum of a
system of particles. The angular
momentum of a rigid body
rotating about a fixed Axis.
18, 19
Conservation of angular
momentum. Quantised angular
momentum.
20
Section 11.9 and 11.10
Problems
Chapter 12
Rolling, Torque and Angular
Momentum.
Section 12.1 to 12.7
Section 12.8 and 12.9
Problems