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COURSE OUTLINE
(with references to Fundamentals of Physics, 8th ed., by D. Halliday, R. Resnick, and J. Walker (Wiley, 2008)
Introduction: The Newtonian Revolution (PPt)
Nature and nature’s laws lay hid in night:
God said, let Newton be! and all was light.
Using WileyPlus
Measurement (Ch. 1)
Units and conversions — Why units are important
Handout: Unit systems in mechanics
Dimensions and dimensional analysis
One-Dimensional Motion (Ch. 2)
The position of a particle is a function of the time (demo)
We can differentiate position to get velocity and acceleration.
We can integrate velocity or acceleration to get position or velocity.
Vectors and Motion in 2 or 3 Dimensions (Ch. 3-4)
Vectors
Position, velocity, and acceleration in 2-D and 3-D
Newton’s Laws of Motion (Ch. 5-6)
The laws of motion
Find the net force acting on the body of interest; then set acceleration = net force/mass.
Examples: forces dependent on time only, forces dependent on velocity only
Uniform circular motion
Work and Kinetic Energy (Ch. 7)
Definition: how forces do work
The net work done on a particle is the change in its kinetic energy.
The dot product
Power
Conservation of Energy (Ch. 8, a bit of 13)
Potential energy and conservation of total mechanical energy
Handout: Work done on a pendulum
In 1-D any force which depends only on position is conservative.
The frictionless roller coaster
Gravitation and other examples
Nonconservative forces
Systems of Particles (Ch. 9)
The center of mass
Momentum and its conservation
Elastic and inelastic collisions
Examples: air hockey pucks, radioactive decay
The rocket problem
Rotation (Ch. 10-11)
Angular position, velocity, acceleration
Angular momentum and torque
The conservation law for rotational motion
Analogies between linear and angular motion
Gravity (Ch. 13)
Kepler’s laws follow from Newton’s. (demo)
Oscillations (Sections 15.1 - 15.7)
Simple harmonic motion
Temperature, Heat and the First Law of Thermodynamics (Ch. 18)
Pressure, density, and temperature
Heat
Work done by gases
The first law: Heat is energy and energy is conserved.
Kinetic Theory and Entropy
(Parts of Chapters 19, 20)
Ideal gases
The ideal gas law can be derived from mechanics.
Examples using the first law of thermodynamics (heat capacities of ideal gases)
The Second Law of Thermodynamics
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