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PHYS 2P20
 Introductory Mechanics
 The final exam is scheduled for December 19, 2023, 19:0022:00.
These are previously made announcements:
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 develop a more comprehensive understanding of Newton's laws of motion and their origin in and application to real physical systems;
 to discover the underlying conservation laws and the manner in which physical systems evolve with time;
 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 develop experimental data analysis, error estimation, and numerical modelling skills;
 to enhance scientific writing skills.
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 week. Late submissions have a sinking cap of 15%/day. 
Midterm test 
10% 
An inclass test, date TBA. Only a calculator and one lettersize (onesided) selfprepared formula sheet allowed; no complete solutions. 
Final exam 
35% 
Minimum passing grade 50%, marks given for correct answers. Only a calculator and one lettersize (onesided) selfprepared formula sheet allowed; no complete solutions. 
Labs 
35% 
Completion of all labs and submission of all lab reports is required to obtain a grade in the course. Late submissions will not be accepted. 
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
 algebra of vectors
 multiplication of two vectors: dot and crossproducts
 base vectors, orthonormality
 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

