Lecture: 4 hours/week
Classroom time will be used for lectures, demonstrations, discussions, problem-solving practice, and/or in-class assignments (which may include work in groups).
Vectors
- Vector components
- Cartesian unit vectors
- Vector addition and subtraction
- Position vectors
- Force vector along a line
- Dot product
- Cross product
Particle Equilibrium
- Condition for particle equilibrium
- Free-body diagrams
- Two- and three-dimensional force systems
Force System Resultants
- Moment of a force
- Principle of moments
- Moment of force about an axis
- Moment of a couple
- Simplification of a force and couple system
Equilibrium of Rigid Bodies
- Conditions for rigid body equilibrium
- Free-body diagrams
- Equilibrium in two and three dimensions
- Constraints for rigid body equilibrium
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
Friction
- Characteristics of dry friction
- Coefficients of friction
- Wedges
- Screws
Kinematics
- Rectilinear kinematics: position, velocity, acceleration
- Curvilinear motion: rectangular components, normal and tangential components, polar and cylindrical components
- Projectile motion
Dynamics
- Newton’s second law of motion and the equations of motion
- The equations of motion for a system of particles
- The equations of motion in rectangular coordinates, normal and tangential coordinates, polar and cylindrical coordinates
Work and Energy
- Work done by constant and variable forces
- Principle of work and energy
- Principle of work and energy for a system of particles
- Power and efficiency
- Conservative forces and potential energy
Impulse and Momentum
- Principle of linear impulse and momentum
- Principle of linear impulse and momentum for a system of particles
- Conservation of momentum
Upon successful completion of the course, students will be able to:
- express physical quantities, such as force, position and moment, in vector form;
- manipulate vectors in two and three dimensions;
- analyze two- and three-dimensional concurrent force systems acting upon particles in equilibrium;
- solve particle equilibrium and rigid-body equilibrium problems using the equations of equilibrium;
- calculate the moment of a force in two and three dimensions;
- calculate the moment of a force about an axis;
- find a force and moment which is equivalent to a system of forces and moments;
- analyze the equilibrium of rigid bodies in two and three dimensions and determine equivalent systems of forces;
- determine the forces acting on the members of trusses, frames and machines;
- determine the internal loadings in a member;
- reduce a simple distributed loading to a resultant force;
- analyze structures and their internal forces;
- formulate equations which describe the internal stress and moment throughout a member;
- draw internal shear and moment diagrams;
- apply the concepts of friction to solve practical problems, including applications related to wedges and screws;
- solve kinematics problems for particles in either rectilinear motion or curvilinear motion, using calculus when applicable;
- analyze the kinematics of the curvilinear motion of a particle in terms of Cartesian vector components, tangential and normal vector components, polar vector components or cylindrical vector components;
- use Newton’s second law to derive the equation of motion for a single particle and for a system of particles;
- solve particle dynamics problems using the equation of motion given in Cartesian coordinates, tangential and normal coordinates, polar coordinates or cylindrical coordinates;
- calculate the work done and power expended by a force acting on a moving body;
- apply the law of conservation of energy and/or the work-energy theorem to solve problems that involve forces acting on objects;
- apply the law of conservation of momentum to solve problems that involve collisions or explosions in 1D and 2D.
Assessment will be in accordance with the Douglas College Evaluation 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:
Quizzes 0-10%
Assignments 10-20%
Project 0-20%
Term Tests (minimum of two) 30-50%
Final Exam 30-40%
Total 100%
Consult the Douglas College Bookstore for the latest required textbooks and materials. Example textbooks and materials may include:
Moore, Jacob (current online edition), Mechanics Map, Pennsylvania State University.
Hibbeler, R.C. (current edition), Engineering Mechanics: Statics and Dynamics, Pearson.
One of B.C. Physics 12 (C or higher) or PHYS 1107
Courses listed here must be completed either prior to or simultaneously with this course.
None