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