Text Book
Main course book: An Introduction to Mechanics, by Daniel
Kleppner and Robert J. Kolenkow, McGrawHill
International Editions (Sections of the book that are part of the
course are indicated below)
Supplementary text book for additional reading: Classical
Mechanics, by John R. Taylor
Two recent solved exams are: May 2005
, Aug 2005
. Two earlier examination papers are found
here . (Copies of still older exams with solutions have been
distributed in the class. If you have not got one, please contact me).
Suggested Problems
Suggested problems from the book and from the yellow
"Övnningsproblem i mekanik" can be found
here
(Consider only chapters that have been covered in this course and note
that the description in line 2 and 3 does not apply to this course)
Homework Problems
Homework problem set I pdf file
(Due date: May 2, 2006)
Course Content


Chapter 1: Vectors and Kinematics
Topics Covered:
 Vectors, addition of vectors, unit vectors, components of a
vector (in Cartesian coordinates), Scalar (dot) product and vector
(cross) product of two vectors.
 Basic description of motion: position vector, displacement,
velocity, momentum, acceleration, description of motion with constant
acceleration.
 Uniform circular motion (angular velocity and radial
acceleration), polar coordinates in 2 dimensions, general
2dimensional motion in polar coordinates, radial and angular
components of velocity and acceleration.
Relevant Sections in the Book: 1.1, 1.2, 1.3, 1.4, 1.5, 1.6,
1.9 (important, upto page 37)

Chapter 2: Newton's Laws of Motion
Topics Covered:
 The need for reference frames, Newton's first law of motion, the
concept of inertial and noninertial reference frames, isolated
bodies.
 Newton's second law of motion, unit of force, principle of
superposition, interaction as the origin of force, noninertial frames
and the concept of fictitious forces.
 Newton's third law of motion, action and reaction
 Some common examples of force: Newton's law of gravitation,
gravity due to empty and solid spherical shells (no derivations),
weight, acceleration due to gravity.
 Linear restoring force (Hooke's law), Motion under a linear
restoring force (Simple Harmonic Motion): general solution of the
simple harmonic equation, the concept of initial conditions, time
period and frequency of the oscillations.
 Contact forces: tension on a string, normal force (perpendicular
to a surface), friction
Relevant Sections in the Book: 2.1, 2.2, 2.4,
2.5 (topics on pulleys
and viscocity not included)
Relevant Examples: 2.3, 2.5, 2.6, 2.8, 2.10, 2.11, 2.12, 2.17, 2.18

Chapter 3: Momentum
Topics Covered:
 Newton's second law in terms of momentum, Dynamics of a system of
particles: total momentum and total external force, center of mass,
motion of center of mass, conservation of momentum and its importance,
impulse and the significance of interaction time.
Relevant Sections in the Book: 3.1, 3.2, 3.3, 3.4
Relevant Examples: 3.2, 3.6, 3.8 (no need to use the CoM
coordinates), 3.10

Chapter 4: Work and Energy
Topics Covered:
 Work, Integrating the equation of motion in 1 dimension,
WorkEnergy theorem in 1 dim, Calculation of work for some forces:
a) uniform gravitational field, b) linear restoring force, c) inverse
square force (escape velocity)
 Integrating equation of motion in 3 dimensions, WorkEnergy
theorem, Work done by uniform and central forces, Conservative forces
and potential energy, Total mechanical energy and its conservation,
Potential in a uniform gravitational field, harmonic oscillator
potential, gravitational potential, Shape of potential energy curve
and stability.
Relevant Sections in the Book: 4.1, 4.2, 4.3,
4.4, 4.5, 4.7, 4.8, (recommended reading: 4.9, 4.10)
Relevant Examples: 4.1, 4.2, 4.3, 4.4, 4.5, 4.7, 4.8, 4.11, 4.12,
4.13,

Chapter 6: Angular Momentum and Fixed Axis Rotation
Topics Covered:
 Angular momentum of a particle, Torque and the conservation of
angular momentum, Central force motion and Kepler's law of equal
areas, Angular momentum of an extended body and moment of inertia,
Calculation of moment of inertia in some simple cases, The parallel
axis theorem, Dynamics of pure rotation about an axis, kinetic energy
of a rotating body, axis of gyration, The physical pendulum
 Motion Involving Both Translations and Rotations, analysis for
angular momentum, torque and kinetic energy.
Relevant Sections in the Book: 6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7
Relevant Examples: 6.1, 6.2, 6.3, 6.5, 6.6, 6.7, 6.8, 6.9, 6.10, 6.14,
6.15, 6.16, 6.17

Chapter 8: Noninertial Systems and Fictitious Forces
Topics covered:
 Transformations between reference frames, Galilean transformations
and inertial frames, Uniformly accelerated systems and the equivalence
principle, Physics in
rotating coordinate systems, centrifugal and Coriolis forces, The case
of the rotating earth, Foucault's pendulum
Relevant Sections in the Book: 8.1, 8.2, 8.3, 8.4, 8.5
Relevant Examples: 8.1, 8.2, 8.3, 8.6, 8.7, 8.8, 8.9, 8.11,

Chapter 10: The Harmonic Oscillator
Topics covered:
 Review of simple harmonic motion, Damped harmonic oscillator,
Forced harmonic oscillator, Forced damped harmonic oscillator,
resonance and energy considerations
Relevant Sections in the Book: 10.1, 10.2 (leave out the
Qfactor), 10.3, 10.4
Relevant Examples: 10.1, 10.3, 10.4, 10.5,

Chapter 11: The Special Theory of Relativity
Topics covered:
 Galilean transformations and Galilean addition of velocities,
Qualitative description of inconsistency with experiments and with
the theory of electromagnetism (constancy of the speed of light), The
postulates of Special Relativity, Derivation of Lorentz
transformations.
Relevant Sections in the Book: 11.1, 11.3,
Relevant Examples: 11.1, 11.2

Chapter 12: Relativistic Kinematics
Topics covered:
 Implications of Lorentz Tansformations: observer dependence of
simultaneity, Lorentz contraction, Time dilation, Relativistic
transformation of velocity.
Relevant Sections in the Book: 12.1, 12.2, 12.3, 12.4
Relevant Examples: 12.1, 12.2, 12.3, 12.4, 12.5, 12.6, 12.7

Chapter 13: Relativistic Momentum and Energy
Topics covered:
 Relativistic momentum and its conservation, the concept of
velocity dependent mass, Relativistic kinetic energy,Total energy and
massenergy equivalence, energymomentum relationship, the notion of
massless particles.
Relevant Sections in the Book: 13.1, 13.2, 13.3
Relevant Examples: 13.2, 13.3, 13.5

Spacetime Intervals and Diagrams
Topics covered:
 Space intervals, Time intervals and Spacetime intervals,
Invariance of spacetime intervals under Lorentz transformations,
Types of Spacetime intervals: spacelike, timelike and lightlike,
The notion of causality and its invariance under Lorentz
transformations, Spacetime interval as a distance between two events
in Minkowski space.
 Spacetime diagrams, the lightcone and causality



fawad@physto.se
