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Physics 118

Engineering Mechanics

Credits: 4

Length of Course: 14 weeks

Classroom Hours per Week: 4 hours lecture, 2 hours lab

Prerequisite: Mathematics 113 and Physics 110

Text: R.C. Hibbeler, Engineering Mechanics. 13th Edition. Pearson Prentice Hall 2013.
Chapters relevant to the above topics are 1-5, 7, 8, 12 - 15


Course Description:

Equilibrium of a particle, equilibrium of a rigid body, internal forces, friction.

Kinematics of a particle, Newton’s second law, work, energy, impulse, and momentum.


Course Outline:

Topic Length Description
1) Introduction (1 lecture) What is Mechanics? Fundamental concepts & principles, systems of units, conversion from one system of units to another, method of problem solution, numerical accuracy.
2) Statics of Particles (6 lectures) Forces in a Plane: force on a particle, resultant of two forces, vectors, addition of vectors, resultant of several concurrent forces, resolution of a force into components, rectangular components of a force, unit vectors, addition of forces by summing x & y components, equilibrium of a particle, Newton's First Law of Motion, problems involving the equilibrium of a particle, free-body diagram. Forces in Space: rectangular components of a force in space, force defined by its magnitude & two points on its line of action, addition of concurrent forces in space, equilibrium of a particle in space.
3) Rigid Bodies: Equivalent Systems of Forces (4 lectures) External & internal forces, principle of transmissibility, equivalent forces, vector product of two vectors, vector products expressed in terms of rectangular components, moment of a force about a point, Varignon's Theorem, rectangular components of a moment of a force, scalar product of three vectors, moment of a force about a given axis, moment of a couple, equivalent couples, addition of couples, couples may be represented by vectors, resolution of a given force into a force at 0 & a couple, reduction of a system of forces to one force & one couple, equivalent systems of forces, equipollent systems of vectors, further reduction of a system of forces.
4) Equilibrium of Rigid Bodies (4 lectures) Free-Body Diagram. Equilibrium in Two Dimensions: reactions at supports & connections for a two-dimensional structure, equilibrium of a rigid body in two dimensions, statically indeterminate reactions, partial constraints, equilibrium of a two-force body, equilibrium of a three-force body. Equilibrium in Three Dimensions: reactions at supports & connections for a three-dimensional structure, equilibrium of a rigid body in three dimensions.
5) Internal Forces (5 lectures) Shear and moment equations and diagrams. Cables.
6) Friction (4 lectures) The laws of dry friction, coefficients of friction, angles of friction, problems involving dry friction, wedges.
7) Kinematics of Particles (8 lectures) Introduction to Dynamics. Rectilinear Motion of Particles: position, velocity & acceleration, determination of the motion of a particle, uniform rectilinear motion, uniformly accelerated rectilinear motion, motion of several particles, motion of the mass center of a system of particles. Curvilinear motion of particles: position vector, velocity, & acceleration, derivations of vector functions, rectangular components of velocity & acceleration, motion relative to a frame in translation, tangential & normal components, radial & transverse components.
8) Kinetics of Particles: Newton's Second Law (10 lectures) Newton's Second Law of Motion, linear momentum of a particle, rate of change of linear momentum, linear & angular momentum of a system of particles, systems of units, equations of motion, dynamic equilibrium, angular momentum of a particle, rate of change of angular momentum, angular momentum of a system of particles about its mass centre, moment of inertia concept, equations of motion in terms of radial & transverse components, motion under a central force, conservation of angular momentum, Newton's Law of Gravitation, trajectory of a particle under a central force, application to space mechanics, Kepler's Laws of Planetary Motion.
9) Kinetics of Particles (10 lectures) Work of a force, kinetic energy of a particle, principle of work & energy, kinetic energy of a system of particles, applications of the principle of work & energy, work-energy principle, conservation of energy for a system of particles, power & efficiency, potential energy, conservative forces, conservation of energy, motion under a conservative central force, application to space mechanics, principle of impulse & momentum, principle of impulse & momentum for a system of particles, impulsive motion, impact, direct central impact, oblique central impact, problems involving energy & momentum.

Evaluation:

Quizzes 5%
Mid-term Exams 30%
Assignments 15%
Final Exam 50%

Instructors:

Vladan Jovovic, B.Sc. (Belgrade), M.Sc. (Kragujevac), Ph.D. (Novi Sad)
Tara Todoruk, B.Sc., MSc. (Northern British Columbia)


Transferability: see www.bctransferguide.ca