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 ºÚÁϱ¬ÁÏÍø 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 ºÚÁϱ¬ÁÏÍø 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