
Home > Courses > 2P20 
Introductory Mechanics
Latest news
 Midterm test: Mar 1 (Fri). Allowed: calculator and one selfprepared onesided lettersize formula sheet which may not contain solutions to problems; not allowed: textbooks, lecture notes, laptop or tablet computers.
 A brief note of introduction to basic data analysis and plotting tasks has been added
to Lectures. A static web page can be viewed
here,
but a better way is to save (rightclick on) this
jupyter notebook, open a terminal
window in the directory where you save it, run the command jupyter notebook, and
open the notebook this way.
 Lectures: T F 9:3011:00, in
TH240 B209, starting Friday, Jan. 25.
What Brock calendar entry says:
 Mechanics of particles and systems of particles by the Newtonian method; conservation of linear momentum, angular momentum and energy; elementary dynamics of rigid bodies; oscillators; motion under central forces; selected applications.
What do I need to bring into the course?
 This course is a core course of the Physics program, and requires Y1 Physics and Math courses as prerequisites.
Course Goals
 to further develop an understanding of Newton's laws of motion and their origin in and application to real physical systems
 to discover the underlying conservation laws governing the evolution of physical systems
 to gain experience in the use of advanced mathematical tools (e.g. advanced algebra and trigonometry, analytic geometry, differential and integral calculus, differential equations)
 to understand more comprehensively physical phenomena and the manner in which physical systems evolve with time.
Textbook
 An Introduction to Mechanics, second edition, by Daniel Kleppner and Robert Kolenkow. Cambridge University Press, 2013.
Component 
% of the final mark 
Notes 
Homework 
20% 
Problem sets, every two weeks, demonstrated effort marks given. Solutions should be submitted to the instructor during the lecture period on the due date. Late solutions will not be accepted 
Midterm test 
10% 
20190301, in class. Only a calculator and one lettersize (onesided) selfprepared formula sheet allowed; no complete solutions. 
Final exam 
40% 
Minimum passing grade 50%, marks given for correct answers. Only a calculator and one lettersize (onesided) selfprepared formula sheet allowed; no complete solutions. 
Labs 
30% 
Completion of all labs and submission of all lab reports is required to obtain a grade in the course 
This is an approximate list, based on previous experience. As the course progresses, some of topics
may be removed and some others may get added.
 Vectors, a review of concepts
 Ex: temperature vs. velocity
 algebra of vectors
 multiplication by a scalar
 Ex: unit vector
 addition of two vectors
 Ex: subtraction
 multiplication of two vectors: dotproduct
 multiplication of two vectors: crossproduct
 components of a vector
 base vectors
 multiplication table of base vectors
 derivatives of vectors
 Kinematics in 2D and 3D
 elementary kinematics
 Ex: uniform circular motion
 solving kinematic equations
 2D motion in polar coordinates
 approximation methods: Taylor series and related expansions
 Newton's Laws
 Newton's Laws
 inertial and noninertial frames
 procedure for applying Newton's Laws to complex systems
 examples; constraints; nonphysical solutions
 linear restoring force
 momentum, impulse
 work and kinetic energy
 Harmonic oscillator
 potential energy, damping, formal solutions to the DE
 classification of solutions, under over and criticallydamped cases
 quality factor $Q$
 forced (driven) HO, resonance
 Ex: analogy with LCR circuits
 Kinematics in 3D
 work and energy in 3D, potentials, conservative forces
 momentum of a system of particles
 centerofmass, extended bodies, c.o.m. coordinates
 rocket motion
 momentum transport
 collisions between masses
 collisions and the c.o.m. coordinates
 Rotational motion and angular momentum
 angular momentum of a particle
 importance of the 3rd dimension: a conical pendulum
 conservation of angular momentum
 Ex: Kepler's 2nd law
 Ex: Bohr's atom, quantization of angular momentum
 Ex: torque on a conical pendulum
 angular momentum associated with a fixed axis' rotation
 moment of inertia
 parallel axis theorem
 solving problems involving torques
 the physical pendulum, center of gyration
 motions with both translation and rotation
 modified workenergy theorem
 generalization of rotational motion; infinitesimal rotations
 stability of rotating objects; a gyroscope
 generalization of angular momentum; tensor of inertia
These are previously made announcements:
 Welcome! This is the home page for the course. There are no Sakai or WebWork pages.
 Be sure to review this statement on academic integrity
 Lectures: T F 9:3011:00, in TH240. Labs: M 14:0017:00, B203. The labs begin next week:
 Jan 14: Introduction to computing I (overview of Physics workstations, CLI and bash programming)
 Jan 21: Introduction to computing II (physica/gnuplot/octave plotting/data analysis; LaTeX/overleaf)
 Jan 28: see the first lab in the lab manual
 Please, monitor the Homework link regularly.
 If you want to make use of xournal, look here, available for Linux and Wind**s.
 You are expected to prepare your lab reports using LaTeX. It is available on all computers in
Physics labs, and online at overleaf.com.
Some useful resources for writing lab reports are here.
See a sample report in LaTeX, a physica online link, a tutorial on writing physica macros, etc.
The same sample lab report is also available as
an overleaf template (clone as your own).
 Just in case you missed it: the preparation for the next lab is to:
 log on to overleaf (sign up using your Brock email) and create a New Project from a template for "Brock Physics 3PXX lab report" (or use the link below on this page);
 generate a script for your favourite graphics package (physica recommended) that includes both a directly entered set of data coordinates and a set of commands to generate a basic plot;
 use this script to generate a vector graphics output file (SVG or EPS recommended) and upload it to the subdirectory Figures in your project;
 make the obvious changes: name, title, references etc. to LaTeX code to make the template into your own lab report;
 record all questions that arise along the way and bring them with you on Monday.

