Force Vectors
- Vector components
- Cartesian unit vectors
- Vector addition and subtraction
- Position vectors
- Force vector along a line
- Dot Product
Particle Equilibrium
- Condition for particle equilibrium
- Free-body diagram
- Two and three dimensional force systems
Force System Resultants
- Moment of a force
- Cross product
- Principle of moments
- Moment about an axis
- Moment of a couple
- Equivalent system
- Resultants of a force and couple system
Equilibrium of Rigid Bodies
- Conditions for rigid body equilibrium
- Equilibrium in two dimensions
- Equilibrium in three dimensions
- Constraints for a rigid body
Structural Analysis
- Simple Trusses
- The Method of Joints
- Zero-force members
- The Method of Sections
- Space Trusses
- Frames and Machines
Internal Forces
- Internal Loadings Developed in Structural Members
- Shear and Moment Equations and Diagrams
- Relations between Distributed Load, Shear, and Moment
- Cables
Friction
- Characteristics of dry friction
- Coefficients of friction
- Angles of friction
- Problems involving dry friction
- Wedges
- Frictional forces on screws, belts and bearings
Particle Kinematics
- Position, velocity, acceleration
- Rectilinear motion
- Curvilinear motion
- Normal and tangential components
- Cylindrical components
- Relative motion
Particle Dynamics
- Force and acceleration
- Newton’s three laws of motion
- Law of gravitation
- Application of equations of motion in rectangular coordinates, normal and tangential coordinates, cylindrical coordinates
Work and Energy
- Work done by constant and variable forces
- Principle of work and energy/kinetic energy
- Power and efficiency
- Conservative forces and potential energy
Impulse and Momentum
- Principle of linear impulse
- Principle for a system of particles
- Conservation of momentum
- Impact/collisions
Methods Of Instruction
Class time is devoted to lectures and problem solving.
(In the Winter Semester of 2021 there will be a series of pre-recorded videos. The instructor will be available online during the posted class time to answer any questions you might have about the assigned work.)
Means of Assessment
Evaluation will be carried out in accordance with Douglas College policy. The instructor will present a written course outline with specific evaluation criteria at the beginning of the semester. Evaluation will be based on the following:
Assignments 10-20%
Projects 10-20%
Tests 30-50%
A minimum of two tests will be administered during the semester. (In January-April 2021 there will be three tests.)
Final Exam 25%
Learning Outcomes
Upon completion of the course the student will be able to:
- analyze two and three dimension concurrent force systems acting upon particles in equilibrium
- analyze the equilibrium of rigid bodies in two and three dimensions and determine equivalent systems of forces
- analyze structures and their internal forces
- apply the concepts of friction to practical problems
- analyze motion of particles and particle-like objects and systems using displacement, velocity, acceleration, force, Newton’s second law, energy, momentum, conservation principles.
Textbook Materials
Students should consult the bookstore for information on textbook and other required materials.
Examples of textbooks under consideration include:
Hibbeler, R.C., Engineering Mechanics: Statics and Dynamics, current edition, Pearson Publishers
